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34670392932 = 22373123071399
BaseRepresentation
bin100000010010100001…
…000011011001100100
310022111020110110001010
4200102201003121210
51032001110033212
623532150502220
72335110322530
oct402241033144
9108436413033
1034670392932
11137815953aa
126877064970
133366b5aa06
14196c82abc0
15d7db7403c
hex812843664

34670392932 has 144 divisors (see below), whose sum is σ = 95912678400. Its totient is φ = 9548228160.

The previous prime is 34670392879. The next prime is 34670393003. The reversal of 34670392932 is 23929307643.

It is a super-2 number, since 2×346703929322 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24781569 + ... + 24782967.

Almost surely, 234670392932 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 34670392932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47956339200).

34670392932 is an abundant number, since it is smaller than the sum of its proper divisors (61242285468).

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

34670392932 is a wasteful number, since it uses less digits than its factorization.

34670392932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 48.

The spelling of 34670392932 in words is "thirty-four billion, six hundred seventy million, three hundred ninety-two thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 307 372 434 614 651 868 921 961 1228 1302 1399 1842 1922 2149 2604 2798 2883 3684 3844 4197 4298 5596 5766 6447 6727 8394 8596 9517 9793 11532 12894 13454 16788 19034 19586 20181 25788 26908 28551 29379 38068 39172 40362 43369 57102 58758 66619 80724 86738 114204 117516 130107 133238 173476 199857 260214 266476 295027 303583 399714 429493 520428 590054 607166 799428 858986 885081 910749 1180108 1214332 1288479 1344439 1717972 1770162 1821498 2065189 2576958 2688878 3006451 3540324 3642996 4033317 4130378 5153916 5377756 6012902 6195567 8066634 8260756 9019353 9411073 12025804 12391134 13314283 16133268 18038706 18822146 24782268 26628566 28233219 36077412 37644292 39942849 53257132 56466438 79885698 93199981 112932876 159771396 186399962 279599943 372799924 412742773 559199886 825485546 1118399772 1238228319 1650971092 2476456638 2889199411 4952913276 5778398822 8667598233 11556797644 17335196466 34670392932