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64100034 = 232192329281
BaseRepresentation
bin1111010010000…
…1011011000010
311110121121201100
43310201123002
5112402200114
610205515230
71405561365
oct364413302
9143547640
1064100034
1133201339
1219572b16
131038421b
1487280dc
155962909
hex3d216c2

64100034 has 96 divisors (see below), whose sum is σ = 158371200. Its totient is φ = 18627840.

The previous prime is 64099999. The next prime is 64100083. The reversal of 64100034 is 43000146.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227974 + ... + 228254.

It is an arithmetic number, because the mean of its divisors is an integer number (1649700).

Almost surely, 264100034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64100034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79185600).

64100034 is an abundant number, since it is smaller than the sum of its proper divisors (94271166).

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

64100034 is a wasteful number, since it uses less digits than its factorization.

64100034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 64100034 is about 8006.2496838407. The cubic root of 64100034 is about 400.2082956801.

The spelling of 64100034 in words is "sixty-four million, one hundred thousand, thirty-four".

Divisors: 1 2 3 6 9 18 19 23 29 38 46 57 58 69 87 114 138 171 174 207 261 281 342 414 437 522 551 562 667 843 874 1102 1311 1334 1653 1686 2001 2529 2622 3306 3933 4002 4959 5058 5339 6003 6463 7866 8149 9918 10678 12006 12673 12926 16017 16298 19389 24447 25346 32034 38019 38778 48051 48894 58167 73341 76038 96102 114057 116334 122797 146682 154831 187427 228114 245594 309662 368391 374854 464493 562281 736782 928986 1105173 1124562 1393479 1686843 2210346 2786958 3373686 3561113 7122226 10683339 21366678 32050017 64100034