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345964662 = 233972572
BaseRepresentation
bin10100100111110…
…000000001110110
3220002222211022000
4110213300001312
51202031332122
654155120130
711400436221
oct2447600166
9802884260
10345964662
1116831940a
1297a43046
13568a2524
1433d3a5b8
152058d0ac
hex149f0076

345964662 has 48 divisors (see below), whose sum is σ = 779770320. Its totient is φ = 113688576.

The previous prime is 345964651. The next prime is 345964687. The reversal of 345964662 is 266469543.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1346038 + ... + 1346294.

It is an arithmetic number, because the mean of its divisors is an integer number (16245215).

Almost surely, 2345964662 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345964662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389885160).

345964662 is an abundant number, since it is smaller than the sum of its proper divisors (433805658).

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

345964662 is an equidigital number, since it uses as much as digits as its factorization.

345964662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 359 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 345964662 is about 18600.1253221585. The cubic root of 345964662 is about 702.0109940568.

It can be divided in two parts, 3459 and 64662, that added together give a square (68121 = 2612).

The spelling of 345964662 in words is "three hundred forty-five million, nine hundred sixty-four thousand, six hundred sixty-two".

Divisors: 1 2 3 6 9 18 27 54 97 194 257 291 514 582 771 873 1542 1746 2313 2619 4626 5238 6939 13878 24929 49858 66049 74787 132098 149574 198147 224361 396294 448722 594441 673083 1188882 1346166 1783323 3566646 6406753 12813506 19220259 38440518 57660777 115321554 172982331 345964662