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34009690 = 251113171399
BaseRepresentation
bin1000000110111…
…1001001011010
32100222212112011
42001233021122
532201302230
63212540134
7562035421
oct201571132
970885464
1034009690
1118219a90
12b48164a
13707a0a0
1447342b8
152ebbe2a
hex206f25a

34009690 has 64 divisors (see below), whose sum is σ = 76204800. Its totient is φ = 10736640.

The previous prime is 34009649. The next prime is 34009693. The reversal of 34009690 is 9690043.

It is a super-2 number, since 2×340096902 = 2313318027792200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34009693) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23611 + ... + 25009.

It is an arithmetic number, because the mean of its divisors is an integer number (1190700).

Almost surely, 234009690 is an apocalyptic number.

34009690 is an abundant number, since it is smaller than the sum of its proper divisors (42195110).

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

34009690 is a wasteful number, since it uses less digits than its factorization.

34009690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447.

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 34009690 is about 5831.7827462964. The cubic root of 34009690 is about 323.9919535166.

The spelling of 34009690 in words is "thirty-four million, nine thousand, six hundred ninety".

Divisors: 1 2 5 10 11 13 17 22 26 34 55 65 85 110 130 143 170 187 221 286 374 442 715 935 1105 1399 1430 1870 2210 2431 2798 4862 6995 12155 13990 15389 18187 23783 24310 30778 36374 47566 76945 90935 118915 153890 181870 200057 237830 261613 309179 400114 523226 618358 1000285 1308065 1545895 2000570 2616130 3091790 3400969 6801938 17004845 34009690