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34692138 = 2351317219
BaseRepresentation
bin1000010001010…
…1110000101010
32102021112200000
42010111300222
532340122023
63235323430
7600610155
oct204256052
972245600
1034692138
1118645798
12b750576
1372588c0
144870c9c
1530a4243
hex2115c2a

34692138 has 144 divisors (see below), whose sum is σ = 93868320. Its totient is φ = 9517824.

The previous prime is 34692137. The next prime is 34692167. The reversal of 34692138 is 83129643.

It is a super-2 number, since 2×346921382 = 2407088878022088, which contains 22 as substring.

Its product of digits (31104) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34692137) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1825893 + ... + 1825911.

Almost surely, 234692138 is an apocalyptic number.

34692138 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34692138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46934160).

34692138 is an abundant number, since it is smaller than the sum of its proper divisors (59176182).

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

34692138 is a wasteful number, since it uses less digits than its factorization.

34692138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 54 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 34692138 is about 5890.0032258056. The cubic root of 34692138 is about 326.1447222741.

The spelling of 34692138 in words is "thirty-four million, six hundred ninety-two thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 13 17 18 19 26 27 34 38 39 51 54 57 78 81 102 114 117 153 162 171 221 234 243 247 289 306 323 342 351 442 459 486 494 513 578 646 663 702 741 867 918 969 1026 1053 1326 1377 1482 1539 1734 1938 1989 2106 2223 2601 2754 2907 3078 3159 3757 3978 4131 4199 4446 4617 5202 5491 5814 5967 6318 6669 7514 7803 8262 8398 8721 9234 10982 11271 11934 12597 13338 15606 16473 17442 17901 20007 22542 23409 25194 26163 32946 33813 35802 37791 40014 46818 49419 52326 53703 60021 67626 70227 71383 75582 78489 98838 101439 107406 113373 120042 140454 142766 148257 156978 202878 214149 226746 296514 304317 340119 428298 444771 608634 642447 680238 889542 912951 1020357 1284894 1334313 1825902 1927341 2040714 2668626 3854682 5782023 11564046 17346069 34692138