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64407834 = 23219832269
BaseRepresentation
bin1111010110110…
…0100100011010
311111012020221100
43311230210122
5112442022314
610220252230
71411312641
oct365544432
9144166840
1064407834
11333a1617
12196a1076
131046135a
1487a8358
1559c3c09
hex3d6c91a

64407834 has 48 divisors (see below), whose sum is σ = 148730400. Its totient is φ = 20085408.

The previous prime is 64407829. The next prime is 64407841. The reversal of 64407834 is 43870446.

64407834 is a `hidden beast` number, since 644 + 0 + 7 + 8 + 3 + 4 = 666.

It is a Curzon 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, 27252 + ... + 29520.

It is an arithmetic number, because the mean of its divisors is an integer number (3098550).

Almost surely, 264407834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64407834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74365200).

64407834 is an abundant number, since it is smaller than the sum of its proper divisors (84322566).

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

64407834 is a wasteful number, since it uses less digits than its factorization.

64407834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2379 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 64407834 is about 8025.4491463095. The cubic root of 64407834 is about 400.8478557485.

The spelling of 64407834 in words is "sixty-four million, four hundred seven thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 38 57 83 114 166 171 249 342 498 747 1494 1577 2269 3154 4538 4731 6807 9462 13614 14193 20421 28386 40842 43111 86222 129333 188327 258666 376654 387999 564981 775998 1129962 1694943 3389886 3578213 7156426 10734639 21469278 32203917 64407834