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234762016 = 2553149929
BaseRepresentation
bin11011111111000…
…10111100100000
3121100202010221111
431333202330200
5440044341031
635143433104
75550305236
oct1577427440
9540663844
10234762016
111105761a5
1266755794
1339838948
1423270956
15159241b1
hexdfe2f20

234762016 has 48 divisors (see below), whose sum is σ = 474579000. Its totient is φ = 114270208.

The previous prime is 234762013. The next prime is 234762067. The reversal of 234762016 is 610267432.

It can be written as a sum of positive squares in 4 ways, for example, as 109411600 + 125350416 = 10460^2 + 11196^2 .

It is a super-2 number, since 2×2347620162 = 110226408312768512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (234762013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252240 + ... + 253168.

Almost surely, 2234762016 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 234762016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237289500).

234762016 is an abundant number, since it is smaller than the sum of its proper divisors (239816984).

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

234762016 is a wasteful number, since it uses less digits than its factorization.

234762016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 234762016 is about 15321.9455683670. The cubic root of 234762016 is about 616.8921967711.

The spelling of 234762016 in words is "two hundred thirty-four million, seven hundred sixty-two thousand, sixteen".

Divisors: 1 2 4 8 16 32 53 106 149 212 298 424 596 848 929 1192 1696 1858 2384 3716 4768 7432 7897 14864 15794 29728 31588 49237 63176 98474 126352 138421 196948 252704 276842 393896 553684 787792 1107368 1575584 2214736 4429472 7336313 14672626 29345252 58690504 117381008 234762016