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34500972 = 22311223761
BaseRepresentation
bin1000001110011…
…1000101101100
32101220211102210
42003213011230
532313012342
63231250420
7566152632
oct203470554
971824383
1034500972
1118525100
12b679a10
1371bc89c
144821352
15306779c
hex20e716c

34500972 has 36 divisors (see below), whose sum is σ = 88489688. Its totient is φ = 10454400.

The previous prime is 34500971. The next prime is 34501001. The reversal of 34500972 is 27900543.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (34500971) 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, 10429 + ... + 13332.

Almost surely, 234500972 is an apocalyptic number.

It is an amenable number.

34500972 is an abundant number, since it is smaller than the sum of its proper divisors (53988716).

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

34500972 is a wasteful number, since it uses less digits than its factorization.

34500972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23790 (or 23777 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 34500972 is about 5873.7528037874. The cubic root of 34500972 is about 325.5445608069.

The spelling of 34500972 in words is "thirty-four million, five hundred thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 23761 47522 71283 95044 142566 261371 285132 522742 784113 1045484 1568226 2875081 3136452 5750162 8625243 11500324 17250486 34500972