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76429134 = 232191991123
BaseRepresentation
bin1001000111000…
…11011101001110
312022211000001200
410203203131032
5124031213014
611330050330
71615431315
oct443433516
9168730050
1076429134
113a162381
12217199a6
1312aacc52
14a21727c
156a9aa09
hex48e374e

76429134 has 48 divisors (see below), whose sum is σ = 175344000. Its totient is φ = 23992848.

The previous prime is 76429121. The next prime is 76429141. The reversal of 76429134 is 43192467.

76429134 is a `hidden beast` number, since 7 + 642 + 9 + 1 + 3 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67497 + ... + 68619.

It is an arithmetic number, because the mean of its divisors is an integer number (3653000).

Almost surely, 276429134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76429134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87672000).

76429134 is an abundant number, since it is smaller than the sum of its proper divisors (98914866).

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

76429134 is a wasteful number, since it uses less digits than its factorization.

76429134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1346 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 76429134 is about 8742.3757640586. The cubic root of 76429134 is about 424.3781151484.

The spelling of 76429134 in words is "seventy-six million, four hundred twenty-nine thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 199 342 398 597 1123 1194 1791 2246 3369 3582 3781 6738 7562 10107 11343 20214 21337 22686 34029 42674 64011 68058 128022 192033 223477 384066 446954 670431 1340862 2011293 4022586 4246063 8492126 12738189 25476378 38214567 76429134