Search a number
-
+
3079874064 = 2432316211721
BaseRepresentation
bin1011011110010011…
…0010011000010000
321221122022210221210
42313210302120100
522301421432224
61225340220120
7136215332451
oct26744623020
97848283853
103079874064
111340565a73
1271b53a640
133a10cc4b7
14213079128
151305c0429
hexb7932610

3079874064 has 80 divisors (see below), whose sum is σ = 8312217984. Its totient is φ = 980812800.

The previous prime is 3079874051. The next prime is 3079874081. The reversal of 3079874064 is 4604789703.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1788724 + ... + 1790444.

Almost surely, 23079874064 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 3079874064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4156108992).

3079874064 is an abundant number, since it is smaller than the sum of its proper divisors (5232343920).

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

3079874064 is a wasteful number, since it uses less digits than its factorization.

3079874064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3376 (or 3370 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 3079874064 is about 55496.6130858452. The cubic root of 3079874064 is about 1454.9374392392.

The spelling of 3079874064 in words is "three billion, seventy-nine million, eight hundred seventy-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 1621 1721 3242 3442 4863 5163 6484 6884 9726 10326 12968 13768 19452 20652 25936 27536 37283 38904 39583 41304 74566 77808 79166 82608 111849 118749 149132 158332 223698 237498 298264 316664 447396 474996 596528 633328 894792 949992 1789584 1899984 2789741 5579482 8369223 11158964 16738446 22317928 33476892 44635856 64164043 66953784 128328086 133907568 192492129 256656172 384984258 513312344 769968516 1026624688 1539937032 3079874064