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64401336 = 233219179263
BaseRepresentation
bin1111010110101…
…0111110111000
311111011221000200
43311222332320
5112441320321
610220202200
71411254666
oct365527670
9144157020
1064401336
113339774a
1219699360
131045b3cc
1487a5c36
1559c1d26
hex3d6afb8

64401336 has 96 divisors (see below), whose sum is σ = 185328000. Its totient is φ = 20146752.

The previous prime is 64401301. The next prime is 64401343. The reversal of 64401336 is 63310446.

64401336 is a `hidden beast` number, since 644 + 0 + 13 + 3 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244741 + ... + 245003.

It is an arithmetic number, because the mean of its divisors is an integer number (1930500).

Almost surely, 264401336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64401336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92664000).

64401336 is an abundant number, since it is smaller than the sum of its proper divisors (120926664).

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

64401336 is a wasteful number, since it uses less digits than its factorization.

64401336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 64401336 is about 8025.0442989432. The cubic root of 64401336 is about 400.8343750024.

It can be divided in two parts, 6440 and 1336, that added together give a 5-th power (7776 = 65).

The spelling of 64401336 in words is "sixty-four million, four hundred one thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 179 228 263 342 358 456 526 537 684 716 789 1052 1074 1368 1432 1578 1611 2104 2148 2367 3156 3222 3401 4296 4734 4997 6312 6444 6802 9468 9994 10203 12888 13604 14991 18936 19988 20406 27208 29982 30609 39976 40812 44973 47077 59964 61218 81624 89946 94154 119928 122436 141231 179892 188308 244872 282462 359784 376616 423693 564924 847386 894463 1129848 1694772 1788926 2683389 3389544 3577852 5366778 7155704 8050167 10733556 16100334 21467112 32200668 64401336