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345653130 = 235196011009
BaseRepresentation
bin10100100110100…
…011111110001010
3220002101222221210
4110212203332022
51201441400010
654144313550
711365001034
oct2446437612
9802358853
10345653130
11168126349
12979128b6
13567c37a4
1433c98c54
152052ab20
hex149a3f8a

345653130 has 64 divisors (see below), whose sum is σ = 875548800. Its totient is φ = 87091200.

The previous prime is 345653123. The next prime is 345653153. The reversal of 345653130 is 31356543.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 342066 + ... + 343074.

It is an arithmetic number, because the mean of its divisors is an integer number (13680450).

Almost surely, 2345653130 is an apocalyptic number.

345653130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345653130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437774400).

345653130 is an abundant number, since it is smaller than the sum of its proper divisors (529895670).

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

345653130 is a wasteful number, since it uses less digits than its factorization.

345653130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639.

The product of its (nonzero) digits is 16200, while the sum is 30.

The square root of 345653130 is about 18591.7489763605. The cubic root of 345653130 is about 701.8002166855.

The spelling of 345653130 in words is "three hundred forty-five million, six hundred fifty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 601 1009 1202 1803 2018 3005 3027 3606 5045 6010 6054 9015 10090 11419 15135 18030 19171 22838 30270 34257 38342 57095 57513 68514 95855 114190 115026 171285 191710 287565 342570 575130 606409 1212818 1819227 3032045 3638454 6064090 9096135 11521771 18192270 23043542 34565313 57608855 69130626 115217710 172826565 345653130