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274020864 = 2931313723
BaseRepresentation
bin10000010101010…
…011101000000000
3201002121200221220
4100111103220000
51030122131424
643105115040
76535065435
oct2025235000
9632550856
10274020864
1113074aa27
1277928a80
1344a03030
142856db8c
15190cb579
hex10553a00

274020864 has 80 divisors (see below), whose sum is σ = 786220512. Its totient is φ = 84307968.

The previous prime is 274020863. The next prime is 274020889. The reversal of 274020864 is 468020472.

It is not an unprimeable number, because it can be changed into a prime (274020863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13107 + ... + 26829.

Almost surely, 2274020864 is an apocalyptic number.

274020864 is a gapful number since it is divisible by the number (24) 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 274020864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393110256).

274020864 is an abundant number, since it is smaller than the sum of its proper divisors (512199648).

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

274020864 is a wasteful number, since it uses less digits than its factorization.

274020864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13757 (or 13741 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 274020864 is about 16553.5755654179. The cubic root of 274020864 is about 649.5230141644.

The spelling of 274020864 in words is "two hundred seventy-four million, twenty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1248 1536 1664 2496 3328 4992 6656 9984 13723 19968 27446 41169 54892 82338 109784 164676 178399 219568 329352 356798 439136 535197 658704 713596 878272 1070394 1317408 1427192 1756544 2140788 2634816 2854384 3513088 4281576 5269632 5708768 7026176 8563152 10539264 11417536 17126304 21078528 22835072 34252608 45670144 68505216 91340288 137010432 274020864