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3114257640 = 2335132153563
BaseRepresentation
bin1011100110011111…
…1100110011101000
322001001000200100120
42321213330303220
522334222221030
61233005203240
7140113516224
oct27147746350
98031020316
103114257640
111358a0a94a
1272ab60520
133a827a800
14217869784
15133613010
hexb99fcce8

3114257640 has 96 divisors (see below), whose sum is σ = 10116796320. Its totient is φ = 766581504.

The previous prime is 3114257621. The next prime is 3114257669. The reversal of 3114257640 is 467524113.

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 23 ways as a sum of consecutive naturals, for example, 56502 + ... + 97061.

It is an arithmetic number, because the mean of its divisors is an integer number (105383295).

Almost surely, 23114257640 is an apocalyptic number.

3114257640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3114257640 is an abundant number, since it is smaller than the sum of its proper divisors (7002538680).

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

3114257640 is a wasteful number, since it uses less digits than its factorization.

3114257640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153603 (or 153586 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 3114257640 is about 55805.5341341699. The cubic root of 3114257640 is about 1460.3317004524.

The spelling of 3114257640 in words is "three billion, one hundred fourteen million, two hundred fifty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 169 195 260 312 338 390 507 520 676 780 845 1014 1352 1560 1690 2028 2535 3380 4056 5070 6760 10140 20280 153563 307126 460689 614252 767815 921378 1228504 1535630 1842756 1996319 2303445 3071260 3685512 3992638 4606890 5988957 6142520 7985276 9213780 9981595 11977914 15970552 18427560 19963190 23955828 25952147 29944785 39926380 47911656 51904294 59889570 77856441 79852760 103808588 119779140 129760735 155712882 207617176 239558280 259521470 311425764 389282205 519042940 622851528 778564410 1038085880 1557128820 3114257640