Search a number
-
+
64034070 = 235172353103
BaseRepresentation
bin1111010001000…
…1010100010110
311110111021020020
43310101110112
5112343042240
610204250010
71405165152
oct364212426
9143437206
1064034070
1133166821
1219540906
13103601a9
14870c062
15594d0d0
hex3d11516

64034070 has 128 divisors (see below), whose sum is σ = 174680064. Its totient is φ = 14936064.

The previous prime is 64034041. The next prime is 64034071. The reversal of 64034070 is 7043046.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 64034070.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64034071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 621639 + ... + 621741.

It is an arithmetic number, because the mean of its divisors is an integer number (1364688).

Almost surely, 264034070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64034070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87340032).

64034070 is an abundant number, since it is smaller than the sum of its proper divisors (110645994).

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

64034070 is a wasteful number, since it uses less digits than its factorization.

64034070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206.

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 64034070 is about 8002.1290916855. The cubic root of 64034070 is about 400.0709665753.

The spelling of 64034070 in words is "sixty-four million, thirty-four thousand, seventy".

Divisors: 1 2 3 5 6 10 15 17 23 30 34 46 51 53 69 85 102 103 106 115 138 159 170 206 230 255 265 309 318 345 391 510 515 530 618 690 782 795 901 1030 1173 1219 1545 1590 1751 1802 1955 2346 2369 2438 2703 3090 3502 3657 3910 4505 4738 5253 5406 5459 5865 6095 7107 7314 8755 9010 10506 10918 11730 11845 12190 13515 14214 16377 17510 18285 20723 23690 26265 27030 27295 32754 35535 36570 40273 41446 52530 54590 62169 71070 80546 81885 92803 103615 120819 124338 125557 163770 185606 201365 207230 241638 251114 278409 310845 376671 402730 464015 556818 604095 621690 627785 753342 928030 1208190 1255570 1392045 1883355 2134469 2784090 3766710 4268938 6403407 10672345 12806814 21344690 32017035 64034070