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38034117 = 38111731
BaseRepresentation
bin1001000100010…
…1101011000101
32122120100000000
42101011223011
534214042432
63435111513
7641166432
oct221055305
978510000
1038034117
111a518660
12108a2599
137b58ac4
1450a0b89
15351457c
hex2445ac5

38034117 has 72 divisors (see below), whose sum is σ = 68020992. Its totient is φ = 20995200.

The previous prime is 38034107. The next prime is 38034119. The reversal of 38034117 is 71143083.

It is not a de Polignac number, because 38034117 - 26 = 38034053 is a prime.

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 (38034119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1226892 + ... + 1226922.

It is an arithmetic number, because the mean of its divisors is an integer number (944736).

Almost surely, 238034117 is an apocalyptic number.

It is an amenable number.

38034117 is a deficient number, since it is larger than the sum of its proper divisors (29986875).

38034117 is an equidigital number, since it uses as much as digits as its factorization.

38034117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 38034117 is about 6167.1806362389. The cubic root of 38034117 is about 336.2981250706.

The spelling of 38034117 in words is "thirty-eight million, thirty-four thousand, one hundred seventeen".

Divisors: 1 3 9 11 17 27 31 33 51 81 93 99 153 187 243 279 297 341 459 527 561 729 837 891 1023 1377 1581 1683 2187 2511 2673 3069 4131 4743 5049 5797 6561 7533 8019 9207 12393 14229 15147 17391 22599 24057 27621 37179 42687 45441 52173 67797 72171 82863 111537 128061 136323 156519 203391 248589 384183 408969 469557 745767 1152549 1226907 1408671 2237301 3457647 4226013 12678039 38034117