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345736644 = 2231123263433
BaseRepresentation
bin10100100110111…
…000010111000100
3220002120020111220
4110212320113010
51202002033034
654150200340
711365466361
oct2446702704
9802506456
10345736644
11168183070
12979530b0
13568227c6
1433cbb468
1520545749
hex149b85c4

345736644 has 96 divisors (see below), whose sum is σ = 923940864. Its totient is φ = 99601920.

The previous prime is 345736603. The next prime is 345736681. The reversal of 345736644 is 446637543.

It is a junction number, because it is equal to n+sod(n) for n = 345736596 and 345736605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 798252 + ... + 798684.

It is an arithmetic number, because the mean of its divisors is an integer number (9624384).

Almost surely, 2345736644 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 345736644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461970432).

345736644 is an abundant number, since it is smaller than the sum of its proper divisors (578204220).

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

345736644 is a wasteful number, since it uses less digits than its factorization.

345736644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 735 counting only the distinct ones).

The product of its digits is 725760, while the sum is 42.

The square root of 345736644 is about 18593.9948370435. The cubic root of 345736644 is about 701.8567332899.

The spelling of 345736644 in words is "three hundred forty-five million, seven hundred thirty-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 263 276 433 506 526 759 789 866 1012 1052 1299 1518 1578 1732 2598 2893 3036 3156 4763 5196 5786 6049 8679 9526 9959 11572 12098 14289 17358 18147 19052 19918 24196 28578 29877 34716 36294 39836 57156 59754 66539 72588 109549 113879 119508 133078 199617 219098 227758 266156 328647 341637 399234 438196 455516 657294 683274 798468 1252669 1314588 1366548 2505338 2619217 3758007 5010676 5238434 7516014 7857651 10476868 15032028 15715302 28811387 31430604 57622774 86434161 115245548 172868322 345736644