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34720956 = 22326197163
BaseRepresentation
bin1000010001110…
…0110010111100
32102100000012100
42010130302330
532342032311
63240105100
7601060164
oct204346274
972300170
1034720956
1118665406
12b765190
137268a5a
14487b5a4
1530aca56
hex211ccbc

34720956 has 72 divisors (see below), whose sum is σ = 90678224. Its totient is φ = 11197440.

The previous prime is 34720913. The next prime is 34720981. The reversal of 34720956 is 65902743.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34720956.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212931 + ... + 213093.

Almost surely, 234720956 is an apocalyptic number.

34720956 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34720956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45339112).

34720956 is an abundant number, since it is smaller than the sum of its proper divisors (55957268).

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

34720956 is a wasteful number, since it uses less digits than its factorization.

34720956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 34720956 is about 5892.4490663900. The cubic root of 34720956 is about 326.2350043753.

The spelling of 34720956 in words is "thirty-four million, seven hundred twenty thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 61 97 122 163 183 194 244 291 326 366 388 489 549 582 652 732 873 978 1098 1164 1467 1746 1956 2196 2934 3492 5868 5917 9943 11834 15811 17751 19886 23668 29829 31622 35502 39772 47433 53253 59658 63244 71004 89487 94866 106506 119316 142299 178974 189732 213012 284598 357948 569196 964471 1928942 2893413 3857884 5786826 8680239 11573652 17360478 34720956