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3114198024 = 2337711311993
BaseRepresentation
bin1011100110011110…
…1110010000001000
322001000220122120120
42321213232100020
522334213314044
61233004023240
7140113150350
oct27147562010
98030818516
103114198024
11135897a083
1272ab31b20
133a8259632
14217851b60
15133600519
hexb99ee408

3114198024 has 128 divisors (see below), whose sum is σ = 9096468480. Its totient is φ = 870105600.

The previous prime is 3114198019. The next prime is 3114198037. The reversal of 3114198024 is 4208914113.

It is a happy number.

It is a Cunningham number, because it is equal to 558052-1.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1561572 + ... + 1563564.

It is an arithmetic number, because the mean of its divisors is an integer number (71066160).

Almost surely, 23114198024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3114198024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4548234240).

3114198024 is an abundant number, since it is smaller than the sum of its proper divisors (5982270456).

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

3114198024 is a wasteful number, since it uses less digits than its factorization.

3114198024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 3114198024 is about 55804.9999910402. Note that the first 5 decimals coincide. The cubic root of 3114198024 is about 1460.3223820530.

The spelling of 3114198024 in words is "three billion, one hundred fourteen million, one hundred ninety-eight thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 71 84 131 142 168 213 262 284 393 426 497 524 568 786 852 917 994 1048 1491 1572 1704 1834 1988 1993 2751 2982 3144 3668 3976 3986 5502 5964 5979 7336 7972 9301 11004 11928 11958 13951 15944 18602 22008 23916 27902 27903 37204 41853 47832 55804 55806 65107 74408 83706 111608 111612 130214 141503 167412 195321 223224 260428 261083 283006 334824 390642 424509 520856 522166 566012 781284 783249 849018 990521 1044332 1132024 1562568 1566498 1698036 1827581 1981042 2088664 2971563 3132996 3396072 3655162 3962084 5482743 5943126 6265992 7310324 7924168 10965486 11886252 14620648 18536893 21930972 23772504 37073786 43861944 55610679 74147572 111221358 129758251 148295144 222442716 259516502 389274753 444885432 519033004 778549506 1038066008 1557099012 3114198024