Search a number
-
+
320379786960 = 24354331044553
BaseRepresentation
bin1001010100110000001…
…11111001011011010000
31010121221211002110202120
410222120013321123100
520222114211140320
6403102550414240
732101211154012
oct4523007713320
91117854073676
10320379786960
11113966045942
1252112661380
132429a0bb74c
1411713a4a1b2
158501949440
hex4a981f96d0

320379786960 has 80 divisors (see below), whose sum is σ = 1016274519744. Its totient is φ = 83447755776.

The previous prime is 320379786953. The next prime is 320379786977. The reversal of 320379786960 is 69687973023.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 320379786894 and 320379786903.

It is a congruent number.

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, 15511957 + ... + 15532596.

Almost surely, 2320379786960 is an apocalyptic number.

320379786960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320379786960 is an abundant number, since it is smaller than the sum of its proper divisors (695894732784).

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

320379786960 is a wasteful number, since it uses less digits than its factorization.

320379786960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31044612 (or 31044606 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 60.

The spelling of 320379786960 in words is "three hundred twenty billion, three hundred seventy-nine million, seven hundred eighty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2580 3440 5160 10320 31044553 62089106 93133659 124178212 155222765 186267318 248356424 310445530 372534636 465668295 496712848 620891060 745069272 931336590 1241782120 1334915779 1490138544 1862673180 2483564240 2669831558 3725346360 4004747337 5339663116 6674578895 7450692720 8009494674 10679326232 13349157790 16018989348 20023736685 21358652464 26698315580 32037978696 40047473370 53396631160 64075957392 80094946740 106793262320 160189893480 320379786960