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34642685 = 5711176779
BaseRepresentation
bin1000010000100…
…1101011111101
32102012000211102
42010021223331
532332031220
63234302445
7600313040
oct204115375
972160742
1034642685
1118611620
12b727a25
13723c23c
14485ac57
153094775
hex2109afd

34642685 has 64 divisors (see below), whose sum is σ = 56401920. Its totient is φ = 19768320.

The previous prime is 34642667. The next prime is 34642687. The reversal of 34642685 is 58624643.

34642685 = T120 + T121 + ... + T593.

34642685 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34642685 - 28 = 34642429 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34642687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 438476 + ... + 438554.

It is an arithmetic number, because the mean of its divisors is an integer number (881280).

Almost surely, 234642685 is an apocalyptic number.

34642685 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34642685 is a deficient number, since it is larger than the sum of its proper divisors (21759235).

34642685 is a wasteful number, since it uses less digits than its factorization.

34642685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186.

The product of its digits is 138240, while the sum is 38.

The square root of 34642685 is about 5885.8036834404. The cubic root of 34642685 is about 325.9896774932.

The spelling of 34642685 in words is "thirty-four million, six hundred forty-two thousand, six hundred eighty-five".

Divisors: 1 5 7 11 17 35 55 67 77 79 85 119 187 335 385 395 469 553 595 737 869 935 1139 1309 1343 2345 2765 3685 4345 5159 5293 5695 6083 6545 6715 7973 9401 12529 14773 25795 26465 30415 37051 39865 47005 58223 62645 73865 87703 89981 103411 185255 291115 407561 438515 449905 517055 629867 989791 2037805 3149335 4948955 6928537 34642685