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4312372240 = 2451121923447
BaseRepresentation
bin1000000010000100…
…11001010000010000
3102010112111012121101
410001002121100100
532312431402430
61551525034144
7211602362551
oct40102312020
912115435541
104312372240
111913249100
12a04255954
13539561a67
142cca28328
151a38c9dca
hex101099410

4312372240 has 120 divisors (see below), whose sum is σ = 11601132480. Its totient is φ = 1485538560.

The previous prime is 4312372217. The next prime is 4312372271. The reversal of 4312372240 is 422732134.

It is a junction number, because it is equal to n+sod(n) for n = 4312372199 and 4312372208.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172197 + ... + 195643.

It is an arithmetic number, because the mean of its divisors is an integer number (96676104).

Almost surely, 24312372240 is an apocalyptic number.

4312372240 is a gapful number since it is divisible by the number (40) 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 4312372240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5800566240).

4312372240 is an abundant number, since it is smaller than the sum of its proper divisors (7288760240).

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

4312372240 is a wasteful number, since it uses less digits than its factorization.

4312372240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23501 (or 23484 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 4312372240 is about 65668.6549275984. The cubic root of 4312372240 is about 1627.6914438359.

The spelling of 4312372240 in words is "four billion, three hundred twelve million, three hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 121 152 176 190 209 220 242 304 380 418 440 484 605 760 836 880 968 1045 1210 1520 1672 1936 2090 2299 2420 3344 4180 4598 4840 8360 9196 9680 11495 16720 18392 22990 23447 36784 45980 46894 91960 93788 117235 183920 187576 234470 257917 375152 445493 468940 515834 890986 937880 1031668 1289585 1781972 1875760 2063336 2227465 2579170 2837087 3563944 4126672 4454930 4900423 5158340 5674174 7127888 8909860 9800846 10316680 11348348 14185435 17819720 19601692 20633360 22696696 24502115 28370870 35639440 39203384 45393392 49004230 53904653 56741740 78406768 98008460 107809306 113483480 196016920 215618612 226966960 269523265 392033840 431237224 539046530 862474448 1078093060 2156186120 4312372240