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345962344 = 237213292341
BaseRepresentation
bin10100100111101…
…111011101101000
3220002222201010011
4110213233131220
51202031243334
654155101304
711400426400
oct2447573550
9802881104
10345962344
111683176a2
1297a41834
13568a1460
1433d39800
152058c564
hex149ef768

345962344 has 96 divisors (see below), whose sum is σ = 841012200. Its totient is φ = 132088320.

The previous prime is 345962333. The next prime is 345962363. The reversal of 345962344 is 443269543.

It can be written as a sum of positive squares in 4 ways, for example, as 266930244 + 79032100 = 16338^2 + 8890^2 .

It is a junction number, because it is equal to n+sod(n) for n = 345962297 and 345962306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146614 + ... + 148954.

Almost surely, 2345962344 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 345962344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420506100).

345962344 is an abundant number, since it is smaller than the sum of its proper divisors (495049856).

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

345962344 is a wasteful number, since it uses less digits than its factorization.

345962344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403 (or 2392 counting only the distinct ones).

The product of its digits is 311040, while the sum is 40.

The square root of 345962344 is about 18600.0630106460. The cubic root of 345962344 is about 702.0094262038.

The spelling of 345962344 in words is "three hundred forty-five million, nine hundred sixty-two thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 29 49 52 56 58 91 98 104 116 182 196 203 232 364 377 392 406 637 728 754 812 1274 1421 1508 1624 2341 2548 2639 2842 3016 4682 5096 5278 5684 9364 10556 11368 16387 18473 18728 21112 30433 32774 36946 60866 65548 67889 73892 114709 121732 131096 135778 147784 213031 229418 243464 271556 426062 458836 475223 543112 852124 882557 917672 950446 1491217 1704248 1765114 1900892 2982434 3326561 3530228 3801784 5964868 6177899 6653122 7060456 11929736 12355798 13306244 24711596 26612488 43245293 49423192 86490586 172981172 345962344