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342118764 = 2232134011823
BaseRepresentation
bin10100011001000…
…101000101101100
3212211202102201100
4110121011011230
51200040300024
653540443100
711322650541
oct2431050554
9784672640
10342118764
11166131989
12966a9490
1355b56b50
1433618bc8
152007d7c9
hex1464516c

342118764 has 72 divisors (see below), whose sum is σ = 934157952. Its totient is φ = 104947200.

The previous prime is 342118739. The next prime is 342118783. The reversal of 342118764 is 467811243.

It is a super-3 number, since 3×3421187643 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 186757 + ... + 188579.

It is an arithmetic number, because the mean of its divisors is an integer number (12974416).

Almost surely, 2342118764 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 342118764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467078976).

342118764 is an abundant number, since it is smaller than the sum of its proper divisors (592039188).

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

342118764 is a wasteful number, since it uses less digits than its factorization.

342118764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247 (or 2242 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 342118764 is about 18496.4527409987. The cubic root of 342118764 is about 699.4000055987.

The spelling of 342118764 in words is "three hundred forty-two million, one hundred eighteen thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 401 468 802 1203 1604 1823 2406 3609 3646 4812 5213 5469 7218 7292 10426 10938 14436 15639 16407 20852 21876 23699 31278 32814 46917 47398 62556 65628 71097 93834 94796 142194 187668 213291 284388 426582 731023 853164 1462046 2193069 2924092 4386138 6579207 8772276 9503299 13158414 19006598 26316828 28509897 38013196 57019794 85529691 114039588 171059382 342118764