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4313347680 = 253511038147
BaseRepresentation
bin1000000010001100…
…00111011001100000
3102010121022202122210
410001012013121200
532313204111210
61552002002120
7211613564445
oct40106073140
912117282583
104313347680
111913854a54
12a04646340
13539813a45
142ccbdd9cc
151a3a1de20
hex101187660

4313347680 has 96 divisors (see below), whose sum is σ = 13601032704. Its totient is φ = 1149042176.

The previous prime is 4313347679. The next prime is 4313347691. The reversal of 4313347680 is 867433134.

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

It is a super-2 number, since 2×43133476802 = 37209936417122764800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525367 + ... + 533513.

It is an arithmetic number, because the mean of its divisors is an integer number (141677424).

Almost surely, 24313347680 is an apocalyptic number.

4313347680 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 4313347680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6800516352).

4313347680 is an abundant number, since it is smaller than the sum of its proper divisors (9287685024).

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

4313347680 is a wasteful number, since it uses less digits than its factorization.

4313347680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9268 (or 9260 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 4313347680 is about 65676.0814909050. The cubic root of 4313347680 is about 1627.8141601784.

The spelling of 4313347680 in words is "four billion, three hundred thirteen million, three hundred forty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1103 2206 3309 4412 5515 6618 8147 8824 11030 13236 16294 16545 17648 22060 24441 26472 32588 33090 35296 40735 44120 48882 52944 65176 66180 81470 88240 97764 105888 122205 130352 132360 162940 176480 195528 244410 260704 264720 325880 391056 488820 529440 651760 782112 977640 1303520 1955280 3910560 8986141 17972282 26958423 35944564 44930705 53916846 71889128 89861410 107833692 134792115 143778256 179722820 215667384 269584230 287556512 359445640 431334768 539168460 718891280 862669536 1078336920 1437782560 2156673840 4313347680