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296534016 = 214322011
BaseRepresentation
bin10001101011001…
…100000000000000
3202122222111012100
4101223030000000
51101403042031
645231430400
710230332442
oct2153140000
9678874170
10296534016
11142427439
1283385400
134958631c
142b550492
151b076de6
hex11acc000

296534016 has 90 divisors (see below), whose sum is σ = 857053652. Its totient is φ = 98795520.

The previous prime is 296533997. The next prime is 296534039. The reversal of 296534016 is 610435692.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 146451 + ... + 148461.

Almost surely, 2296534016 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 296534016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428526826).

296534016 is an abundant number, since it is smaller than the sum of its proper divisors (560519636).

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

296534016 is an equidigital number, since it uses as much as digits as its factorization.

296534016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 296534016 is about 17220.1630654300. The cubic root of 296534016 is about 666.8449087848.

The spelling of 296534016 in words is "two hundred ninety-six million, five hundred thirty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2011 2048 2304 3072 4022 4096 4608 6033 6144 8044 8192 9216 12066 12288 16088 16384 18099 18432 24132 24576 32176 36198 36864 48264 49152 64352 72396 73728 96528 128704 144792 147456 193056 257408 289584 386112 514816 579168 772224 1029632 1158336 1544448 2059264 2316672 3088896 4118528 4633344 6177792 8237056 9266688 12355584 16474112 18533376 24711168 32948224 37066752 49422336 74133504 98844672 148267008 296534016