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34372107 = 357112167
BaseRepresentation
bin1000001100011…
…1101000001011
32101200021200000
42003013220023
532244401412
63224414043
7565105140
oct203075013
971607600
1034372107
1118447300
12b617323
137176033
1447ca3c7
15303e4dc
hex20c7a0b

34372107 has 72 divisors (see below), whose sum is σ = 65065728. Its totient is φ = 17748720.

The previous prime is 34372073. The next prime is 34372153. The reversal of 34372107 is 70127343.

It is not a de Polignac number, because 34372107 - 211 = 34370059 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34372187) 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, 205738 + ... + 205904.

Almost surely, 234372107 is an apocalyptic number.

34372107 is a deficient number, since it is larger than the sum of its proper divisors (30693621).

34372107 is a wasteful number, since it uses less digits than its factorization.

34372107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 34372107 is about 5862.7729787192. The cubic root of 34372107 is about 325.1387399756.

The spelling of 34372107 in words is "thirty-four million, three hundred seventy-two thousand, one hundred seven".

Divisors: 1 3 7 9 11 21 27 33 63 77 81 99 121 167 189 231 243 297 363 501 567 693 847 891 1089 1169 1503 1701 1837 2079 2541 2673 3267 3507 4509 5511 6237 7623 9801 10521 12859 13527 16533 18711 20207 22869 29403 31563 38577 40581 49599 60621 68607 94689 115731 141449 148797 181863 205821 284067 347193 424347 446391 545589 1041579 1273041 1636767 3124737 3819123 4910301 11457369 34372107