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34012368 = 24321318169
BaseRepresentation
bin1000000110111…
…1110011010000
32101000000012100
42001233303100
532201343433
63213000400
7562046265
oct201576320
971000170
1034012368
1118220aa5
12b483100
13707b380
14473526c
152ebcb13
hex206fcd0

34012368 has 60 divisors (see below), whose sum is σ = 102515140. Its totient is φ = 10464768.

The previous prime is 34012367. The next prime is 34012369. The reversal of 34012368 is 86321043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34012367) and next prime (34012369).

It can be written as a sum of positive squares in 2 ways, for example, as 4981824 + 29030544 = 2232^2 + 5388^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34012367) 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, 7213 + ... + 10956.

Almost surely, 234012368 is an apocalyptic number.

It is an amenable number.

34012368 is an abundant number, since it is smaller than the sum of its proper divisors (68502772).

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

34012368 is a wasteful number, since it uses less digits than its factorization.

34012368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18196 (or 18187 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 34012368 is about 5832.0123456659. The cubic root of 34012368 is about 324.0004572467. Note that the first 3 decimals are identical.

The spelling of 34012368 in words is "thirty-four million, twelve thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 18169 36338 54507 72676 109014 145352 163521 218028 236197 290704 327042 436056 472394 654084 708591 872112 944788 1308168 1417182 1889576 2125773 2616336 2834364 3779152 4251546 5668728 8503092 11337456 17006184 34012368