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3064430736 = 243259373967
BaseRepresentation
bin1011011010100111…
…1000000010010000
321220120021012200200
42312221320002100
522233443240421
61224025215200
7135640142253
oct26651700220
97816235620
103064430736
111332878194
12716331500
1339ab53133
14210db909a
1512e06e726
hexb6a78090

3064430736 has 120 divisors (see below), whose sum is σ = 8753933760. Its totient is φ = 1000435968.

The previous prime is 3064430723. The next prime is 3064430749. The reversal of 3064430736 is 6370344603.

3064430736 is a `hidden beast` number, since 3 + 0 + 644 + 3 + 0 + 7 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3064430723) and next prime (3064430749).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3064430736.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3168525 + ... + 3169491.

It is an arithmetic number, because the mean of its divisors is an integer number (72949448).

Almost surely, 23064430736 is an apocalyptic number.

3064430736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3064430736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4376966880).

3064430736 is an abundant number, since it is smaller than the sum of its proper divisors (5689503024).

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

3064430736 is a wasteful number, since it uses less digits than its factorization.

3064430736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The square root of 3064430736 is about 55357.3006567336. The cubic root of 3064430736 is about 1452.5015456548.

The spelling of 3064430736 in words is "three billion, sixty-four million, four hundred thirty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 354 373 472 531 708 746 944 967 1062 1119 1416 1492 1934 2124 2238 2832 2901 2984 3357 3868 4248 4476 5802 5968 6714 7736 8496 8703 8952 11604 13428 15472 17406 17904 22007 23208 26856 34812 44014 46416 53712 57053 66021 69624 88028 114106 132042 139248 171159 176056 198063 228212 264084 342318 352112 360691 396126 456424 513477 528168 684636 721382 792252 912848 1026954 1056336 1082073 1369272 1442764 1584504 2053908 2164146 2738544 2885528 3169008 3246219 4107816 4328292 5771056 6492438 8215632 8656584 12984876 17313168 21280769 25969752 42561538 51939504 63842307 85123076 127684614 170246152 191526921 255369228 340492304 383053842 510738456 766107684 1021476912 1532215368 3064430736