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296138412 = 223231443599
BaseRepresentation
bin10001101001101…
…011011010101100
3202122020101112100
4101221223122230
51101302412122
645215135100
710224064203
oct2151533254
9678211470
10296138412
11142187199
1283214490
134947823b
142b48a23a
151aee9aac
hex11a6b6ac

296138412 has 72 divisors (see below), whose sum is σ = 775756800. Its totient is φ = 95153760.

The previous prime is 296138411. The next prime is 296138429. The reversal of 296138412 is 214831692.

296138412 is a `hidden beast` number, since 29 + 613 + 8 + 4 + 12 = 666.

296138412 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (296138411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 494089 + ... + 494687.

It is an arithmetic number, because the mean of its divisors is an integer number (10774400).

Almost surely, 2296138412 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 296138412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387878400).

296138412 is an abundant number, since it is smaller than the sum of its proper divisors (479618388).

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

296138412 is a wasteful number, since it uses less digits than its factorization.

296138412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1078 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 296138412 is about 17208.6725809982. The cubic root of 296138412 is about 666.5482324057.

It can be divided in two parts, 29613 and 8412, that added together give a square (38025 = 1952).

The spelling of 296138412 in words is "two hundred ninety-six million, one hundred thirty-eight thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 443 558 599 886 1116 1198 1329 1772 1797 2396 2658 3594 3987 5316 5391 7188 7974 10782 13733 15948 18569 21564 27466 37138 41199 54932 55707 74276 82398 111414 123597 164796 167121 222828 247194 265357 334242 494388 530714 668484 796071 1061428 1592142 2388213 3184284 4776426 8226067 9552852 16452134 24678201 32904268 49356402 74034603 98712804 148069206 296138412