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34683672 = 2331785009
BaseRepresentation
bin1000010001001…
…1101100011000
32102021010001110
42010103230120
532334334142
63235220320
7600543402
oct204235430
972233043
1034683672
111863a3a1
12b7476a0
137254aaa
14486bb72
1530a199c
hex2113b18

34683672 has 32 divisors (see below), whose sum is σ = 91810800. Its totient is φ = 10881024.

The previous prime is 34683619. The next prime is 34683731. The reversal of 34683672 is 27638643.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 34683672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42097 + ... + 42912.

Almost surely, 234683672 is an apocalyptic number.

It is an amenable number.

34683672 is an abundant number, since it is smaller than the sum of its proper divisors (57127128).

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

34683672 is a wasteful number, since it uses less digits than its factorization.

34683672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85035 (or 85031 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 34683672 is about 5889.2845066273. The cubic root of 34683672 is about 326.1181901738.

It can be divided in two parts, 3468 and 3672, that added together give a triangular number (7140 = T119).

The spelling of 34683672 in words is "thirty-four million, six hundred eighty-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 85009 170018 255027 340036 510054 680072 1020108 1445153 2040216 2890306 4335459 5780612 8670918 11561224 17341836 34683672