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345647380 = 225134572909
BaseRepresentation
bin10100100110100…
…010100100010100
3220002101201001211
4110212202210110
51201441204010
654144231204
711364645211
oct2446424424
9802351054
10345647380
11168121aa1
129790b504
13567c0ca0
1433c96b08
152052908a
hex149a2914

345647380 has 48 divisors (see below), whose sum is σ = 783674640. Its totient is φ = 127300608.

The previous prime is 345647371. The next prime is 345647399. The reversal of 345647380 is 83746543.

It can be written as a sum of positive squares in 8 ways, for example, as 7160976 + 338486404 = 2676^2 + 18398^2 .

It is a super-2 number, since 2×3456473802 = 238944222601728800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 117366 + ... + 120274.

It is an arithmetic number, because the mean of its divisors is an integer number (16326555).

Almost surely, 2345647380 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 345647380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391837320).

345647380 is an abundant number, since it is smaller than the sum of its proper divisors (438027260).

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

345647380 is a wasteful number, since it uses less digits than its factorization.

345647380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3388 (or 3386 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The square root of 345647380 is about 18591.5943372267. The cubic root of 345647380 is about 701.7963251410.

The spelling of 345647380 in words is "three hundred forty-five million, six hundred forty-seven thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 457 914 1828 2285 2909 4570 5818 5941 9140 11636 11882 14545 23764 29090 29705 37817 58180 59410 75634 118820 151268 189085 378170 756340 1329413 2658826 5317652 6647065 13294130 17282369 26588260 34564738 69129476 86411845 172823690 345647380