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29937834 = 23211171489
BaseRepresentation
bin111001000110…
…1000010101010
32002022222222200
41302031002222
530131002314
62545401030
7512316213
oct162150252
962288880
1029937834
1115998813
12a039176
1362828c4
143d9440a
152965709
hex1c8d0aa

29937834 has 24 divisors (see below), whose sum is σ = 64966980. Its totient is φ = 9963648.

The previous prime is 29937827. The next prime is 29937841. The reversal of 29937834 is 43873992.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (29937827) and next prime (29937841).

It can be written as a sum of positive squares in 2 ways, for example, as 24532209 + 5405625 = 4953^2 + 2325^2 .

It is a super-2 number, since 2×299378342 = 1792547809223112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 29937834.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 19362 + ... + 20850.

Almost surely, 229937834 is an apocalyptic number.

29937834 is an abundant number, since it is smaller than the sum of its proper divisors (35029146).

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

29937834 is a wasteful number, since it uses less digits than its factorization.

29937834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614 (or 2611 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 29937834 is about 5471.5476786737. The cubic root of 29937834 is about 310.5084752679.

The spelling of 29937834 in words is "twenty-nine million, nine hundred thirty-seven thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 18 1117 1489 2234 2978 3351 4467 6702 8934 10053 13401 20106 26802 1663213 3326426 4989639 9979278 14968917 29937834