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3082907376 = 243279457593
BaseRepresentation
bin1011011111000001…
…0110111011110000
321221212000220212200
42313300112323300
522303211014001
61225525223200
7136253165103
oct26760267360
97855026780
103082907376
111342247a3a
12720561b00
133a1922063
1421362873a
151309be086
hexb7c16ef0

3082907376 has 120 divisors (see below), whose sum is σ = 8770956480. Its totient is φ = 1010700288.

The previous prime is 3082907363. The next prime is 3082907389. The reversal of 3082907376 is 6737092803.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3082907363) and next prime (3082907389).

It is a congruent number.

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, 5198536 + ... + 5199128.

It is an arithmetic number, because the mean of its divisors is an integer number (73091304).

Almost surely, 23082907376 is an apocalyptic number.

3082907376 is a gapful number since it is divisible by the number (36) 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 3082907376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4385478240).

3082907376 is an abundant number, since it is smaller than the sum of its proper divisors (5688049104).

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

3082907376 is a wasteful number, since it uses less digits than its factorization.

3082907376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 3082907376 is about 55523.9351631348. The cubic root of 3082907376 is about 1455.4149296649.

The spelling of 3082907376 in words is "three billion, eighty-two million, nine hundred seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 316 457 474 593 632 711 914 948 1186 1264 1371 1422 1779 1828 1896 2372 2742 2844 3558 3656 3792 4113 4744 5337 5484 5688 7116 7312 8226 9488 10674 10968 11376 14232 16452 21348 21936 28464 32904 36103 42696 46847 65808 72206 85392 93694 108309 140541 144412 187388 216618 271001 281082 288824 324927 374776 421623 433236 542002 562164 577648 649854 749552 813003 843246 866472 1084004 1124328 1299708 1626006 1686492 1732944 2168008 2248656 2439009 2599416 3252012 3372984 4336016 4878018 5198832 6504024 6745968 9756036 13008048 19512072 21409079 39024144 42818158 64227237 85636316 128454474 171272632 192681711 256908948 342545264 385363422 513817896 770726844 1027635792 1541453688 3082907376