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3414813768 = 233337427279
BaseRepresentation
bin1100101110001001…
…1110110001001000
322210222120111212000
43023202132301020
523443143020033
61322503151000
7150423303162
oct31342366110
98728514760
103414813768
1114a2634143
127b3745460
13425611782
14245745932
1514ebd1a13
hexcb89ec48

3414813768 has 64 divisors (see below), whose sum is σ = 9741984000. Its totient is φ = 1107504576.

The previous prime is 3414813763. The next prime is 3414813791. The reversal of 3414813768 is 8673184143.

It is not an unprimeable number, because it can be changed into a prime (3414813763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205648 + ... + 221631.

It is an arithmetic number, because the mean of its divisors is an integer number (152218500).

Almost surely, 23414813768 is an apocalyptic number.

It is an amenable number.

3414813768 is an abundant number, since it is smaller than the sum of its proper divisors (6327170232).

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

3414813768 is a wasteful number, since it uses less digits than its factorization.

3414813768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427331 (or 427321 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 3414813768 is about 58436.4078978166. The cubic root of 3414813768 is about 1505.8752932404.

The spelling of 3414813768 in words is "three billion, four hundred fourteen million, eight hundred thirteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1332 1998 2664 3996 7992 427279 854558 1281837 1709116 2563674 3418232 3845511 5127348 7691022 10254696 11536533 15382044 15809323 23073066 30764088 31618646 46146132 47427969 63237292 92292264 94855938 126474584 142283907 189711876 284567814 379423752 426851721 569135628 853703442 1138271256 1707406884 3414813768