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349675723480 = 23553751219629
BaseRepresentation
bin1010001011010100100…
…11000001101011011000
31020102120111120020121111
411011222103001223120
521212113441122410
6424345552150104
734156201415446
oct5055223015330
91212514506544
10349675723480
11125329914626
1257929838334
1326c88650a25
1412cd277db96
15916884bb8a
hex516a4c1ad8

349675723480 has 64 divisors (see below), whose sum is σ = 802686153600. Its totient is φ = 137047872000.

The previous prime is 349675723469. The next prime is 349675723489. The reversal of 349675723480 is 84327576943.

It is a super-2 number, since 2×3496757234802 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349675723489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1482306 + ... + 1701934.

It is an arithmetic number, because the mean of its divisors is an integer number (12541971150).

Almost surely, 2349675723480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349675723480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401343076800).

349675723480 is an abundant number, since it is smaller than the sum of its proper divisors (453010430120).

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

349675723480 is a wasteful number, since it uses less digits than its factorization.

349675723480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220444 (or 220440 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 58.

The spelling of 349675723480 in words is "three hundred forty-nine billion, six hundred seventy-five million, seven hundred twenty-three thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 751 1060 1502 2120 3004 3755 6008 7510 15020 30040 39803 79606 159212 199015 219629 318424 398030 439258 796060 878516 1098145 1592120 1757032 2196290 4392580 8785160 11640337 23280674 46561348 58201685 93122696 116403370 164941379 232806740 329882758 465613480 659765516 824706895 1319531032 1649413790 3298827580 6597655160 8741893087 17483786174 34967572348 43709465435 69935144696 87418930870 174837861740 349675723480