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345363912 = 23341928051
BaseRepresentation
bin10100100101011…
…101010111001000
3220001212022020000
4110211131113020
51201403121122
654134203000
711362354605
oct2445352710
9801768200
10345363912
11167a49023
12977b3460
1356721c5a
1433c216ac
15204c00ac
hex1495d5c8

345363912 has 80 divisors (see below), whose sum is σ = 1018287600. Its totient is φ = 109058400.

The previous prime is 345363881. The next prime is 345363919. The reversal of 345363912 is 219363543.

It is a happy number.

345363912 is a `hidden beast` number, since 3 + 4 + 5 + 3 + 639 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (345363919) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1714 + ... + 26337.

It is an arithmetic number, because the mean of its divisors is an integer number (12728595).

Almost surely, 2345363912 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 345363912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509143800).

345363912 is an abundant number, since it is smaller than the sum of its proper divisors (672923688).

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

345363912 is a wasteful number, since it uses less digits than its factorization.

345363912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28088 (or 28075 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 345363912 is about 18583.9692208096. The cubic root of 345363912 is about 701.6044232006.

The spelling of 345363912 in words is "three hundred forty-five million, three hundred sixty-three thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 324 342 456 513 648 684 1026 1368 1539 2052 3078 4104 6156 12312 28051 56102 84153 112204 168306 224408 252459 336612 504918 532969 673224 757377 1009836 1065938 1514754 1598907 2019672 2131876 2272131 3029508 3197814 4263752 4544262 4796721 6059016 6395628 9088524 9593442 12791256 14390163 18177048 19186884 28780326 38373768 43170489 57560652 86340978 115121304 172681956 345363912