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34872714 = 2331941829
BaseRepresentation
bin1000010100000…
…1110110001010
32102121201101000
42011001312022
532411411324
63243235430
7602261502
oct205016612
972551330
1034872714
1118759428
12b818b76
1372bcb56
1448baa02
1530dc9c9
hex2141d8a

34872714 has 64 divisors (see below), whose sum is σ = 83664000. Its totient is φ = 10730880.

The previous prime is 34872713. The next prime is 34872749. The reversal of 34872714 is 41727843.

It is a happy number.

It is a super-2 number, since 2×348727142 = 2432212363451592, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 41652 + ... + 42480.

It is an arithmetic number, because the mean of its divisors is an integer number (1307250).

Almost surely, 234872714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34872714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41832000).

34872714 is an abundant number, since it is smaller than the sum of its proper divisors (48791286).

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

34872714 is a wasteful number, since it uses less digits than its factorization.

34872714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 894 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 34872714 is about 5905.3123541435. The cubic root of 34872714 is about 326.7096151130.

The spelling of 34872714 in words is "thirty-four million, eight hundred seventy-two thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 41 54 57 82 114 123 171 246 342 369 513 738 779 829 1026 1107 1558 1658 2214 2337 2487 4674 4974 7011 7461 14022 14922 15751 21033 22383 31502 33989 42066 44766 47253 67978 94506 101967 141759 203934 283518 305901 425277 611802 645791 850554 917703 1291582 1835406 1937373 3874746 5812119 11624238 17436357 34872714