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296312328 = 233213893557
BaseRepresentation
bin10001101010010…
…101111000001000
3202122120020002200
4101222111320020
51101323443303
645223000200
710225420224
oct2152257010
9678506080
10296312328
11142295924
1283299060
1349509450
142b4d3784
151b0313a3
hex11a95e08

296312328 has 96 divisors (see below), whose sum is σ = 874200600. Its totient is φ = 90123264.

The previous prime is 296312311. The next prime is 296312333. The reversal of 296312328 is 823213692.

It can be written as a sum of positive squares in 4 ways, for example, as 95296644 + 201015684 = 9762^2 + 14178^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 296312292 and 296312301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81526 + ... + 85082.

Almost surely, 2296312328 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 296312328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437100300).

296312328 is an abundant number, since it is smaller than the sum of its proper divisors (577888272).

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

296312328 is a wasteful number, since it uses less digits than its factorization.

296312328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3671 (or 3664 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 296312328 is about 17213.7249890894. The cubic root of 296312328 is about 666.6786902276.

The spelling of 296312328 in words is "two hundred ninety-six million, three hundred twelve thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 89 104 117 156 178 234 267 312 356 468 534 712 801 936 1068 1157 1602 2136 2314 3204 3471 3557 4628 6408 6942 7114 9256 10413 10671 13884 14228 20826 21342 27768 28456 32013 41652 42684 46241 64026 83304 85368 92482 128052 138723 184964 256104 277446 316573 369928 416169 554892 633146 832338 949719 1109784 1266292 1664676 1899438 2532584 2849157 3329352 3798876 4115449 5698314 7597752 8230898 11396628 12346347 16461796 22793256 24692694 32923592 37039041 49385388 74078082 98770776 148156164 296312328