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296840192 = 2101119273
BaseRepresentation
bin10001101100010…
…110110000000000
3202200120001012012
4101230112300000
51101442341232
645242152052
710233046205
oct2154266000
9680501165
10296840192
11142616480
12834b2628
13496627ac
142b5cdcac
151b0d79b2
hex11b16c00

296840192 has 132 divisors (see below), whose sum is σ = 692557416. Its totient is φ = 126074880.

The previous prime is 296840189. The next prime is 296840197. The reversal of 296840192 is 291048692.

It is a super-2 number, since 2×2968401922 = 176228199173193728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (296840197) 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, 4066268 + ... + 4066340.

Almost surely, 2296840192 is an apocalyptic number.

296840192 is a gapful number since it is divisible by the number (22) 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 296840192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346278708).

296840192 is an abundant number, since it is smaller than the sum of its proper divisors (395717224).

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

296840192 is a wasteful number, since it uses less digits than its factorization.

296840192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 296840192 is about 17229.0508154106. The cubic root of 296840192 is about 667.0743390984.

The spelling of 296840192 in words is "two hundred ninety-six million, eight hundred forty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 73 76 88 128 146 152 176 209 256 292 304 352 361 418 512 584 608 704 722 803 836 1024 1168 1216 1387 1408 1444 1606 1672 2336 2432 2774 2816 2888 3212 3344 3971 4672 4864 5548 5632 5776 6424 6688 7942 9344 9728 11096 11264 11552 12848 13376 15257 15884 18688 19456 22192 23104 25696 26353 26752 30514 31768 37376 44384 46208 51392 52706 53504 61028 63536 74752 88768 92416 102784 105412 107008 122056 127072 177536 184832 205568 210824 214016 244112 254144 289883 355072 369664 411136 421648 488224 508288 579766 710144 822272 843296 976448 1016576 1159532 1420288 1686592 1952896 2033152 2319064 3373184 3905792 4066304 4638128 6746368 7811584 9276256 13492736 15623168 18552512 26985472 37105024 74210048 148420096 296840192