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116667342 = 232114371193
BaseRepresentation
bin1101111010000…
…11001111001110
322010112022111200
412331003033032
5214331323332
615324330330
72614441011
oct675031716
9263468450
10116667342
115a9459a0
12330a39a6
131b22b03c
14116cd378
15a39817c
hex6f433ce

116667342 has 96 divisors (see below), whose sum is σ = 287629056. Its totient is φ = 33868800.

The previous prime is 116667337. The next prime is 116667349. The reversal of 116667342 is 243766611.

It is a happy number.

It is a super-2 number, since 2×1166673422 = 27222537378689928, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 116667297 and 116667306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116667349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 604398 + ... + 604590.

It is an arithmetic number, because the mean of its divisors is an integer number (2996136).

Almost surely, 2116667342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116667342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143814528).

116667342 is an abundant number, since it is smaller than the sum of its proper divisors (170961714).

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

116667342 is a wasteful number, since it uses less digits than its factorization.

116667342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 323 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 116667342 is about 10801.2657591599. The cubic root of 116667342 is about 488.6333457854.

The spelling of 116667342 in words is "one hundred sixteen million, six hundred sixty-seven thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 71 86 99 129 142 193 198 213 258 386 387 426 473 579 639 774 781 946 1158 1278 1419 1562 1737 2123 2343 2838 3053 3474 4246 4257 4686 6106 6369 7029 8299 8514 9159 12738 13703 14058 16598 18318 19107 24897 27406 27477 33583 38214 41109 49794 54954 67166 74691 82218 91289 100749 123327 149382 150733 182578 201498 246654 273867 301466 302247 452199 547734 589229 604494 821601 904398 1178458 1356597 1643202 1767687 2713194 3535374 5303061 6481519 10606122 12963038 19444557 38889114 58333671 116667342