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64234728 = 23333153181
BaseRepresentation
bin1111010100001…
…0010011101000
311110212110111000
43311002103220
5112421002403
610212435000
71406662155
oct365022350
9143773430
1064234728
1133293558
1219618a60
131040061c
14876122c
15598c7a3
hex3d424e8

64234728 has 128 divisors (see below), whose sum is σ = 188697600. Its totient is φ = 20217600.

The previous prime is 64234717. The next prime is 64234747. The reversal of 64234728 is 82743246.

64234728 is a `hidden beast` number, since 642 + 3 + 4 + 7 + 2 + 8 = 666.

It is a super-2 number, since 2×642347282 = 8252200562467968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 64234692 and 64234701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354798 + ... + 354978.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 264234728 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 64234728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94348800).

64234728 is an abundant number, since it is smaller than the sum of its proper divisors (124462872).

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

64234728 is a wasteful number, since it uses less digits than its factorization.

64234728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 270 counting only the distinct ones).

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

The square root of 64234728 is about 8014.6570731379. The cubic root of 64234728 is about 400.4884200386.

The spelling of 64234728 in words is "sixty-four million, two hundred thirty-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 53 54 62 72 93 106 108 124 159 181 186 212 216 248 279 318 362 372 424 477 543 558 636 724 744 837 954 1086 1116 1272 1431 1448 1629 1643 1674 1908 2172 2232 2862 3258 3286 3348 3816 4344 4887 4929 5611 5724 6516 6572 6696 9593 9774 9858 11222 11448 13032 13144 14787 16833 19186 19548 19716 22444 28779 29574 33666 38372 39096 39432 44361 44888 50499 57558 59148 67332 76744 86337 88722 100998 115116 118296 134664 151497 172674 177444 201996 230232 259011 297383 302994 345348 354888 403992 518022 594766 605988 690696 892149 1036044 1189532 1211976 1784298 2072088 2379064 2676447 3568596 5352894 7137192 8029341 10705788 16058682 21411576 32117364 64234728