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674160032 = 25721333073
BaseRepresentation
bin101000001011101…
…101110110100000
31201222112212201002
4220023231312200
52340041110112
6150521331132
722464160100
oct5013556640
91658485632
10674160032
11316600457
12169936aa8
13a9892a80
146576d200
153e2bb1c2
hex282edda0

674160032 has 72 divisors (see below), whose sum is σ = 1662762276. Its totient is φ = 266692608.

The previous prime is 674160031. The next prime is 674160043. The reversal of 674160032 is 230061476.

It can be written as a sum of positive squares in 2 ways, for example, as 644956816 + 29203216 = 25396^2 + 5404^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 674159977 and 674160004.

It is not an unprimeable number, because it can be changed into a prime (674160031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3848 + ... + 36920.

Almost surely, 2674160032 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 674160032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831381138).

674160032 is an abundant number, since it is smaller than the sum of its proper divisors (988602244).

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

674160032 is a wasteful number, since it uses less digits than its factorization.

674160032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33110 (or 33095 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 674160032 is about 25964.5918897255. The cubic root of 674160032 is about 876.8413065281.

The spelling of 674160032 in words is "six hundred seventy-four million, one hundred sixty thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 224 364 392 416 637 728 784 1274 1456 1568 2548 2912 5096 10192 20384 33073 66146 132292 231511 264584 429949 463022 529168 859898 926044 1058336 1620577 1719796 1852088 3009643 3241154 3439592 3704176 6019286 6482308 6879184 7408352 12038572 12964616 13758368 21067501 24077144 25929232 42135002 48154288 51858464 84270004 96308576 168540008 337080016 674160032