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34019136 = 263319687
BaseRepresentation
bin1000000111000…
…1011101000000
32101000100111000
42001301131000
532202103021
63213052000
7562105104
oct201613500
971010430
1034019136
1118226098
12b487000
137081488
144737904
152ebeb26
hex2071740

34019136 has 56 divisors (see below), whose sum is σ = 100015040. Its totient is φ = 11339136.

The previous prime is 34019113. The next prime is 34019137. The reversal of 34019136 is 63191043.

It is a super-2 number, since 2×340191362 = 2314603228372992, which contains 22 as substring.

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 (34019137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8116 + ... + 11571.

Almost surely, 234019136 is an apocalyptic number.

34019136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34019136 is an abundant number, since it is smaller than the sum of its proper divisors (65995904).

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

34019136 is a wasteful number, since it uses less digits than its factorization.

34019136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19708 (or 19692 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 34019136 is about 5832.5925624888. The cubic root of 34019136 is about 324.0219463872.

The spelling of 34019136 in words is "thirty-four million, nineteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 19687 39374 59061 78748 118122 157496 177183 236244 314992 354366 472488 531549 629984 708732 944976 1063098 1259968 1417464 1889952 2126196 2834928 3779904 4252392 5669856 8504784 11339712 17009568 34019136