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345823368 = 23311472593
BaseRepresentation
bin10100100111001…
…101100010001000
3220002201122110220
4110213031202020
51202012321433
654152110040
711366310252
oct2447154210
9802648426
10345823368
11168232240
1297995320
1356853117
1433d00cd2
15205612b3
hex149cd888

345823368 has 96 divisors (see below), whose sum is σ = 965273760. Its totient is φ = 102392320.

The previous prime is 345823327. The next prime is 345823391. The reversal of 345823368 is 863328543.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 582880 + ... + 583472.

It is an arithmetic number, because the mean of its divisors is an integer number (10054935).

Almost surely, 2345823368 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 345823368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482636880).

345823368 is an abundant number, since it is smaller than the sum of its proper divisors (619450392).

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

345823368 is a wasteful number, since it uses less digits than its factorization.

345823368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 656 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 345823368 is about 18596.3267340623. The cubic root of 345823368 is about 701.9154125725.

It can be divided in two parts, 34582 and 3368, that added together give a triangular number (37950 = T275).

The spelling of 345823368 in words is "three hundred forty-five million, eight hundred twenty-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 188 264 282 376 517 564 593 1034 1128 1186 1551 1779 2068 2209 2372 3102 3558 4136 4418 4744 6204 6523 6627 7116 8836 12408 13046 13254 14232 17672 19569 24299 26092 26508 27871 39138 48598 52184 53016 55742 72897 78276 83613 97196 111484 145794 156552 167226 194392 222968 291588 306581 334452 583176 613162 668904 919743 1226324 1309937 1839486 2452648 2619874 3678972 3929811 5239748 7357944 7859622 10479496 14409307 15719244 28818614 31438488 43227921 57637228 86455842 115274456 172911684 345823368