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3121444320 = 253537175757
BaseRepresentation
bin1011101000001101…
…0111010111100000
322001112112210121220
42322003113113200
522343042204240
61233423215040
7140231560521
oct27203272740
98045483556
103121444320
111361a79355
12731447480
133a98c5997
142187ba848
151340825d0
hexba0d75e0

3121444320 has 96 divisors (see below), whose sum is σ = 10098351648. Its totient is φ = 809883648.

The previous prime is 3121444309. The next prime is 3121444321. The reversal of 3121444320 is 234441213.

3121444320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121444321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70119 + ... + 105638.

It is an arithmetic number, because the mean of its divisors is an integer number (105191163).

Almost surely, 23121444320 is an apocalyptic number.

3121444320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3121444320 is an abundant number, since it is smaller than the sum of its proper divisors (6976907328).

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

3121444320 is a wasteful number, since it uses less digits than its factorization.

3121444320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175812 (or 175804 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3121444320 is about 55869.8874171051. The cubic root of 3121444320 is about 1461.4541588593.

Adding to 3121444320 its reverse (234441213), we get a palindrome (3355885533).

The spelling of 3121444320 in words is "three billion, one hundred twenty-one million, four hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 74 80 96 111 120 148 160 185 222 240 296 370 444 480 555 592 740 888 1110 1184 1480 1776 2220 2960 3552 4440 5920 8880 17760 175757 351514 527271 703028 878785 1054542 1406056 1757570 2109084 2636355 2812112 3515140 4218168 5272710 5624224 6503009 7030280 8436336 10545420 13006018 14060560 16872672 19509027 21090840 26012036 28121120 32515045 39018054 42181680 52024072 65030090 78036108 84363360 97545135 104048144 130060180 156072216 195090270 208096288 260120360 312144432 390180540 520240720 624288864 780361080 1040481440 1560722160 3121444320