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34414272 = 263259747
BaseRepresentation
bin1000001101000…
…1111011000000
32101202102111200
42003101323000
532302224042
63225341200
7565342104
oct203217300
971672450
1034414272
1118475a52
12b637800
13718c299
1447db904
15304bc4c
hex20d1ec0

34414272 has 42 divisors (see below), whose sum is σ = 98643948. Its totient is φ = 11471232.

The previous prime is 34414267. The next prime is 34414283. The reversal of 34414272 is 27241443.

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, 29298 + ... + 30449.

Almost surely, 234414272 is an apocalyptic number.

34414272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34414272 is an abundant number, since it is smaller than the sum of its proper divisors (64229676).

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

34414272 is a wasteful number, since it uses less digits than its factorization.

34414272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59765 (or 59752 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 34414272 is about 5866.3678711789. The cubic root of 34414272 is about 325.2716372003.

The spelling of 34414272 in words is "thirty-four million, four hundred fourteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 59747 119494 179241 238988 358482 477976 537723 716964 955952 1075446 1433928 1911904 2150892 2867856 3823808 4301784 5735712 8603568 11471424 17207136 34414272