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345245516 = 227111497523
BaseRepresentation
bin10100100101000…
…000011101001100
3220001122021210222
4110211000131030
51201340324031
654131450512
711361352460
oct2445003514
9801567728
10345245516
11167978080
1297756a38
13566b00b5
1433bd04a0
1520499e7b
hex1494074c

345245516 has 48 divisors (see below), whose sum is σ = 758419200. Its totient is φ = 133590720.

The previous prime is 345245513. The next prime is 345245533. The reversal of 345245516 is 615542543.

It is not an unprimeable number, because it can be changed into a prime (345245513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42131 + ... + 49653.

It is an arithmetic number, because the mean of its divisors is an integer number (15800400).

Almost surely, 2345245516 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 345245516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379209600).

345245516 is an abundant number, since it is smaller than the sum of its proper divisors (413173684).

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

345245516 is a wasteful number, since it uses less digits than its factorization.

345245516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7694 (or 7692 counting only the distinct ones).

The product of its digits is 72000, while the sum is 35.

The square root of 345245516 is about 18580.7835141578. The cubic root of 345245516 is about 701.5242404828.

The spelling of 345245516 in words is "three hundred forty-five million, two hundred forty-five thousand, five hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 44 77 149 154 298 308 596 1043 1639 2086 3278 4172 6556 7523 11473 15046 22946 30092 45892 52661 82753 105322 165506 210644 331012 579271 1120927 1158542 2241854 2317084 4483708 7846489 12330197 15692978 24660394 31385956 49320788 86311379 172622758 345245516