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340740700672 = 2919532512633
BaseRepresentation
bin1001111010101011011…
…10100111101000000000
31012120111210202001112211
410331111232213220000
521040314104410142
6420311211431504
733421605111331
oct4752556475000
91176453661484
10340740700672
11121564273759
1256055455594
13261934a0c98
14126c5c40288
158ce4207917
hex4f55ba7a00

340740700672 has 160 divisors (see below), whose sum is σ = 733357437120. Its totient is φ = 157667328000.

The previous prime is 340740700669. The next prime is 340740700673. The reversal of 340740700672 is 276007047043.

It is a super-2 number, since 2×3407407006722 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (340740700673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129410268 + ... + 129412900.

It is an arithmetic number, because the mean of its divisors is an integer number (4583483982).

Almost surely, 2340740700672 is an apocalyptic number.

340740700672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340740700672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366678718560).

340740700672 is an abundant number, since it is smaller than the sum of its proper divisors (392616736448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

340740700672 is a wasteful number, since it uses less digits than its factorization.

340740700672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 40.

The spelling of 340740700672 in words is "three hundred forty billion, seven hundred forty million, seven hundred thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 19 32 38 53 64 76 106 128 152 212 251 256 304 424 502 512 608 848 1004 1007 1216 1696 2008 2014 2432 2633 3392 4016 4028 4769 4864 5266 6784 8032 8056 9538 9728 10532 13303 13568 16064 16112 19076 21064 26606 27136 32128 32224 38152 42128 50027 53212 64256 64448 76304 84256 100054 106424 128512 128896 139549 152608 168512 200108 212848 252757 257792 279098 305216 337024 400216 425696 505514 515584 558196 610432 660883 674048 800432 851392 1011028 1116392 1220864 1321766 1348096 1600864 1702784 2022056 2232784 2441728 2643532 2651431 3201728 3405568 4044112 4465568 5287064 5302862 6403456 6811136 8088224 8931136 10574128 10605724 12556777 12806912 16176448 17862272 21148256 21211448 25113554 25613824 32352896 35026799 35724544 42296512 42422896 50227108 64705792 70053598 71449088 84593024 84845792 100454216 129411584 140107196 169186048 169691584 200908432 280214392 338372096 339383168 401816864 560428784 665509181 678766336 803633728 1120857568 1331018362 1357532672 1607267456 2241715136 2662036724 3214534912 4483430272 5324073448 6429069824 8966860544 10648146896 17933721088 21296293792 42592587584 85185175168 170370350336 340740700672