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34076007 = 3271731817
BaseRepresentation
bin1000000111111…
…1010101100111
32101010020111100
42001333111213
532210413012
63214211143
7562432650
oct201772547
971106440
1034076007
1118264899
12b4b3ab3
1370a1324
144750527
152ed18dc
hex207f567

34076007 has 24 divisors (see below), whose sum is σ = 59563296. Its totient is φ = 18326016.

The previous prime is 34075991. The next prime is 34076039. The reversal of 34076007 is 70067043.

It is not a de Polignac number, because 34076007 - 24 = 34075991 is a prime.

It is a super-2 number, since 2×340760072 = 2322348506128098, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34076047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14838 + ... + 16979.

It is an arithmetic number, because the mean of its divisors is an integer number (2481804).

Almost surely, 234076007 is an apocalyptic number.

34076007 is a deficient number, since it is larger than the sum of its proper divisors (25487289).

34076007 is a wasteful number, since it uses less digits than its factorization.

34076007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31847 (or 31844 counting only the distinct ones).

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

The square root of 34076007 is about 5837.4658028977. The cubic root of 34076007 is about 324.2024055365.

The spelling of 34076007 in words is "thirty-four million, seventy-six thousand, seven".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 31817 95451 222719 286353 540889 668157 1622667 2004471 3786223 4868001 11358669 34076007