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345232668 = 2231117236689
BaseRepresentation
bin10100100100111…
…101010100011100
3220001121122012010
4110210331110130
51201334421133
654131311220
711361300144
oct2444752434
9801548163
10345232668
11167969460
129774b510
13566a72b1
1433bc9924
1520496263
hex1493d51c

345232668 has 96 divisors (see below), whose sum is σ = 971066880. Its totient is φ = 94167040.

The previous prime is 345232639. The next prime is 345232697. The reversal of 345232668 is 866232543.

It is a happy number.

345232668 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (345232639) and next prime (345232697).

It is a congruent number.

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, 48268 + ... + 54956.

It is an arithmetic number, because the mean of its divisors is an integer number (10115280).

Almost surely, 2345232668 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 345232668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485533440).

345232668 is an abundant number, since it is smaller than the sum of its proper divisors (625834212).

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

345232668 is a wasteful number, since it uses less digits than its factorization.

345232668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6747 (or 6745 counting only the distinct ones).

The product of its digits is 207360, while the sum is 39.

The square root of 345232668 is about 18580.4377774045. The cubic root of 345232668 is about 701.5155381779.

The spelling of 345232668 in words is "three hundred forty-five million, two hundred thirty-two thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 17 22 23 33 34 44 46 51 66 68 69 92 102 132 138 187 204 253 276 374 391 506 561 748 759 782 1012 1122 1173 1518 1564 2244 2346 3036 4301 4692 6689 8602 12903 13378 17204 20067 25806 26756 40134 51612 73579 80268 113713 147158 153847 220737 227426 294316 307694 341139 441474 454852 461541 615388 682278 882948 923082 1250843 1364556 1692317 1846164 2501686 2615399 3384634 3752529 5003372 5076951 5230798 6769268 7505058 7846197 10153902 10461596 15010116 15692394 20307804 28769389 31384788 57538778 86308167 115077556 172616334 345232668