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64629342 = 23217297283
BaseRepresentation
bin1111011010001…
…0101001011110
311111121111210100
43312202221132
5113021114332
610225121530
71413224511
oct366425136
9144544710
1064629342
1133532a88
12197892a6
131050b11b
148824d78
155a1967c
hex3da2a5e

64629342 has 48 divisors (see below), whose sum is σ = 153401040. Its totient is φ = 19574016.

The previous prime is 64629329. The next prime is 64629349. The reversal of 64629342 is 24392646.

64629342 is a `hidden beast` number, since 646 + 2 + 9 + 3 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 64629297 and 64629306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64629349) 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, 5233 + ... + 12515.

It is an arithmetic number, because the mean of its divisors is an integer number (3195855).

Almost surely, 264629342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64629342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76700520).

64629342 is an abundant number, since it is smaller than the sum of its proper divisors (88771698).

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

64629342 is a wasteful number, since it uses less digits than its factorization.

64629342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7337 (or 7334 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 64629342 is about 8039.2376504243. The cubic root of 64629342 is about 401.3068548428.

The spelling of 64629342 in words is "sixty-four million, six hundred twenty-nine thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 17 18 29 34 51 58 87 102 153 174 261 306 493 522 986 1479 2958 4437 7283 8874 14566 21849 43698 65547 123811 131094 211207 247622 371433 422414 633621 742866 1114299 1267242 1900863 2228598 3590519 3801726 7181038 10771557 21543114 32314671 64629342