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274531640 = 23517487829
BaseRepresentation
bin10000010111010…
…000010100111000
3201010120122121112
4100113100110320
51030240003030
643124055452
76542323535
oct2027202470
9633518545
10274531640
11130a69759
1277b34588
1344b51676
1428663d8c
151917ca95
hex105d0538

274531640 has 64 divisors (see below), whose sum is σ = 656164800. Its totient is φ = 103016448.

The previous prime is 274531639. The next prime is 274531643. The reversal of 274531640 is 46135472.

It is a super-2 number, since 2×2745316402 = 150735242722179200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 274531597 and 274531606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274531643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330746 + ... + 331574.

It is an arithmetic number, because the mean of its divisors is an integer number (10252575).

Almost surely, 2274531640 is an apocalyptic number.

274531640 is a gapful number since it is divisible by the number (20) 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 274531640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328082400).

274531640 is an abundant number, since it is smaller than the sum of its proper divisors (381633160).

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

274531640 is a wasteful number, since it uses less digits than its factorization.

274531640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 274531640 is about 16568.9963486024. The cubic root of 274531640 is about 649.9263348470.

The spelling of 274531640 in words is "two hundred seventy-four million, five hundred thirty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 487 680 829 974 1658 1948 2435 3316 3896 4145 4870 6632 8279 8290 9740 14093 16558 16580 19480 28186 33116 33160 41395 56372 66232 70465 82790 112744 140930 165580 281860 331160 403723 563720 807446 1614892 2018615 3229784 4037230 6863291 8074460 13726582 16148920 27453164 34316455 54906328 68632910 137265820 274531640