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677414432 = 254321072
BaseRepresentation
bin101000011000001…
…000011000100000
31202012200012220102
4220120020120200
52341404230212
6151115201532
722533633122
oct5030103040
91665605812
10677414432
11318423542
1216aa462a8
13aa462156
1465d79212
153e7105c2
hex28608620

677414432 has 54 divisors (see below), whose sum is σ = 1378276263. Its totient is φ = 327738432.

The previous prime is 677414371. The next prime is 677414443. The reversal of 677414432 is 234414776.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 338707216 + 338707216 = 18404^2 + 18404^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=18404.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6330923 + ... + 6331029.

Almost surely, 2677414432 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 677414432

677414432 is an abundant number, since it is smaller than the sum of its proper divisors (700861831).

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

677414432 is an equidigital number, since it uses as much as digits as its factorization.

677414432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 152 counting only the distinct ones).

The product of its digits is 112896, while the sum is 38.

The square root of 677414432 is about 26027.1864019144. The cubic root of 677414432 is about 878.2499794117.

The spelling of 677414432 in words is "six hundred seventy-seven million, four hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 43 86 107 172 214 344 428 688 856 1376 1712 1849 3424 3698 4601 7396 9202 11449 14792 18404 22898 29584 36808 45796 59168 73616 91592 147232 183184 197843 366368 395686 492307 791372 984614 1582744 1969228 3165488 3938456 6330976 7876912 15753824 21169201 42338402 84676804 169353608 338707216 677414432