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34872712 = 2372175233
BaseRepresentation
bin1000010100000…
…1110110001000
32102121201100221
42011001312020
532411411322
63243235424
7602261500
oct205016610
972551327
1034872712
1118759426
12b818b74
1372bcb54
1448baa00
1530dc9c7
hex2141d88

34872712 has 48 divisors (see below), whose sum is σ = 80551260. Its totient is φ = 14063616.

The previous prime is 34872701. The next prime is 34872713. The reversal of 34872712 is 21727843.

It can be written as a sum of positive squares in 2 ways, for example, as 28451556 + 6421156 = 5334^2 + 2534^2 .

It is a super-2 number, since 2×348727122 = 2432212084469888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (34872713) 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, 4048 + ... + 9280.

Almost surely, 234872712 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 34872712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40275630).

34872712 is an abundant number, since it is smaller than the sum of its proper divisors (45678548).

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

34872712 is a wasteful number, since it uses less digits than its factorization.

34872712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5270 (or 5259 counting only the distinct ones).

The product of its digits is 18816, while the sum is 34.

The square root of 34872712 is about 5905.3121848045. The cubic root of 34872712 is about 326.7096088672.

The spelling of 34872712 in words is "thirty-four million, eight hundred seventy-two thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 392 476 833 952 1666 3332 5233 6664 10466 20932 36631 41864 73262 88961 146524 177922 256417 293048 355844 512834 622727 711688 1025668 1245454 2051336 2490908 4359089 4981816 8718178 17436356 34872712