Search a number
-
+
3072292320 = 253516738327
BaseRepresentation
bin1011011100011111…
…0111010111100000
321221010001121202110
42313013313113200
522243001323240
61224505515320
7136064024316
oct26707672740
97833047673
103072292320
111337257769
12718aa2b40
1339c676566
142120640b6
1512eac3c80
hexb71f75e0

3072292320 has 96 divisors (see below), whose sum is σ = 9735925248. Its totient is φ = 814350848.

The previous prime is 3072292261. The next prime is 3072292331. The reversal of 3072292320 is 232922703.

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 (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60997 + ... + 99323.

It is an arithmetic number, because the mean of its divisors is an integer number (101415888).

Almost surely, 23072292320 is an apocalyptic number.

3072292320 is a gapful number since it is divisible by the number (30) 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 3072292320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4867962624).

3072292320 is an abundant number, since it is smaller than the sum of its proper divisors (6663632928).

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

3072292320 is a wasteful number, since it uses less digits than its factorization.

3072292320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38512 (or 38504 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 3072292320 is about 55428.2628268287. The cubic root of 3072292320 is about 1453.7425822383.

The spelling of 3072292320 in words is "three billion, seventy-two million, two hundred ninety-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 167 240 334 480 501 668 835 1002 1336 1670 2004 2505 2672 3340 4008 5010 5344 6680 8016 10020 13360 16032 20040 26720 38327 40080 76654 80160 114981 153308 191635 229962 306616 383270 459924 574905 613232 766540 919848 1149810 1226464 1533080 1839696 2299620 3066160 3679392 4599240 6132320 6400609 9198480 12801218 18396960 19201827 25602436 32003045 38403654 51204872 64006090 76807308 96009135 102409744 128012180 153614616 192018270 204819488 256024360 307229232 384036540 512048720 614458464 768073080 1024097440 1536146160 3072292320