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832315380 = 2235138091319
BaseRepresentation
bin110001100111000…
…001111111110100
32011000011000001120
4301213001333310
53201033043010
6214331223540
726424364311
oct6147017764
92130130046
10832315380
11397902956
121b28a7bb0
13103588a10
147c77bd08
154d10be70
hex319c1ff4

832315380 has 96 divisors (see below), whose sum is σ = 2514758400. Its totient is φ = 204469248.

The previous prime is 832315369. The next prime is 832315381. The reversal of 832315380 is 83513238.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (832315381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 630361 + ... + 631679.

It is an arithmetic number, because the mean of its divisors is an integer number (26195400).

Almost surely, 2832315380 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 832315380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257379200).

832315380 is an abundant number, since it is smaller than the sum of its proper divisors (1682443020).

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

832315380 is a wasteful number, since it uses less digits than its factorization.

832315380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 832315380 is about 28849.8766028557. The cubic root of 832315380 is about 940.6527004495.

It can be divided in two parts, 832315 and 380, that added together give a triangular number (832695 = T1290).

The spelling of 832315380 in words is "eight hundred thirty-two million, three hundred fifteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 809 1319 1618 2427 2638 3236 3957 4045 4854 5276 6595 7914 8090 9708 10517 12135 13190 15828 16180 17147 19785 21034 24270 26380 31551 34294 39570 42068 48540 51441 52585 63102 68588 79140 85735 102882 105170 126204 157755 171470 205764 210340 257205 315510 342940 514410 631020 1028820 1067071 2134142 3201213 4268284 5335355 6402426 10670710 12804852 13871923 16006065 21341420 27743846 32012130 41615769 55487692 64024260 69359615 83231538 138719230 166463076 208078845 277438460 416157690 832315380