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34125084 = 2233745139
BaseRepresentation
bin1000001000101…
…1010100011100
32101012201211000
42002023110130
532214000314
63215230300
7563026020
oct202132434
971181730
1034125084
1118298754
12b518390
1370ba776
144764380
152ee1209
hex208b51c

34125084 has 48 divisors (see below), whose sum is σ = 101113600. Its totient is φ = 9749808.

The previous prime is 34125073. The next prime is 34125089. The reversal of 34125084 is 48052143.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34125089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21814 + ... + 23325.

Almost surely, 234125084 is an apocalyptic number.

It is an amenable number.

34125084 is an abundant number, since it is smaller than the sum of its proper divisors (66988516).

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

34125084 is a wasteful number, since it uses less digits than its factorization.

34125084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45159 (or 45151 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 34125084 is about 5841.6679125058. The cubic root of 34125084 is about 324.3579719753.

It can be divided in two parts, 341 and 25084, that added together give a triangular number (25425 = T225).

The spelling of 34125084 in words is "thirty-four million, one hundred twenty-five thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 45139 90278 135417 180556 270834 315973 406251 541668 631946 812502 947919 1218753 1263892 1625004 1895838 2437506 2843757 3791676 4875012 5687514 8531271 11375028 17062542 34125084