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342758328 = 2331119232971
BaseRepresentation
bin10100011011100…
…001001110111000
3212212221221000220
4110123201032320
51200221231303
654002300040
711331253263
oct2433411670
9785857026
10342758328
11166529450
1296957620
135601bca3
1433743cda
1520158053
hex146e13b8

342758328 has 128 divisors (see below), whose sum is σ = 1027123200. Its totient is φ = 94089600.

The previous prime is 342758303. The next prime is 342758333. The reversal of 342758328 is 823857243.

It is a self number, because there is not a number n which added to its sum of digits gives 342758328.

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, 113883 + ... + 116853.

It is an arithmetic number, because the mean of its divisors is an integer number (8024400).

Almost surely, 2342758328 is an apocalyptic number.

342758328 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342758328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513561600).

342758328 is an abundant number, since it is smaller than the sum of its proper divisors (684364872).

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

342758328 is a wasteful number, since it uses less digits than its factorization.

342758328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3033 (or 3029 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 342758328 is about 18513.7334970556. The cubic root of 342758328 is about 699.8355586520.

The spelling of 342758328 in words is "three hundred forty-two million, seven hundred fifty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 19 22 23 24 33 38 44 46 57 66 69 76 88 92 114 132 138 152 184 209 228 253 264 276 418 437 456 506 552 627 759 836 874 1012 1254 1311 1518 1672 1748 2024 2508 2622 2971 3036 3496 4807 5016 5244 5942 6072 8913 9614 10488 11884 14421 17826 19228 23768 28842 32681 35652 38456 56449 57684 65362 68333 71304 98043 112898 115368 130724 136666 169347 196086 204999 225796 261448 273332 338694 392172 409998 451592 546664 620939 677388 751663 784344 819996 1241878 1298327 1354776 1503326 1639992 1862817 2254989 2483756 2596654 3006652 3725634 3894981 4509978 4967512 5193308 6013304 7451268 7789962 9019956 10386616 14281597 14902536 15579924 18039912 28563194 31159848 42844791 57126388 85689582 114252776 171379164 342758328