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34329060 = 22325190717
BaseRepresentation
bin1000001011110…
…1000111100100
32101121002121200
42002331013210
532242012220
63223442500
7564535503
oct202750744
971532550
1034329060
1118417a27
12b5b6430
13715c56c
1447b883a
153031890
hex20bd1e4

34329060 has 36 divisors (see below), whose sum is σ = 104132028. Its totient is φ = 9154368.

The previous prime is 34329037. The next prime is 34329073. The reversal of 34329060 is 6092343.

It can be written as a sum of positive squares in 2 ways, for example, as 17089956 + 17239104 = 4134^2 + 4152^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95179 + ... + 95538.

Almost surely, 234329060 is an apocalyptic number.

34329060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34329060 is an abundant number, since it is smaller than the sum of its proper divisors (69802968).

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

34329060 is a wasteful number, since it uses less digits than its factorization.

34329060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190732 (or 190727 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 34329060 is about 5859.1006135754. The cubic root of 34329060 is about 325.0029506635.

It can be divided in two parts, 343 and 29060, that added together give a triangular number (29403 = T242).

The spelling of 34329060 in words is "thirty-four million, three hundred twenty-nine thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 190717 381434 572151 762868 953585 1144302 1716453 1907170 2288604 2860755 3432906 3814340 5721510 6865812 8582265 11443020 17164530 34329060