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34920972 = 2232970027
BaseRepresentation
bin1000010100110…
…1101000001100
32102201011120100
42011031220030
532414432342
63244251100
7602552262
oct205155014
972634510
1034920972
1118791709
12b840a90
137308ac8
1448d0432
1530ebe4c
hex214da0c

34920972 has 18 divisors (see below), whose sum is σ = 88272548. Its totient is φ = 11640312.

The previous prime is 34920961. The next prime is 34920983. The reversal of 34920972 is 27902943.

It is an interprime number because it is at equal distance from previous prime (34920961) and next prime (34920983).

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 970027 = 34920972 / (3 + 4 + 9 + 2 + 0 + 9 + 7 + 2).

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, 484978 + ... + 485049.

Almost surely, 234920972 is an apocalyptic number.

It is an amenable number.

34920972 is an abundant number, since it is smaller than the sum of its proper divisors (53351576).

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

34920972 is a wasteful number, since it uses less digits than its factorization.

34920972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970037 (or 970032 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 34920972 is about 5909.3969235447. The cubic root of 34920972 is about 326.8602494602.

It can be divided in two parts, 349209 and 72, that added together give a square (349281 = 5912).

The spelling of 34920972 in words is "thirty-four million, nine hundred twenty thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 970027 1940054 2910081 3880108 5820162 8730243 11640324 17460486 34920972