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34231642236 = 223211222138921
BaseRepresentation
bin11111111000010111…
…010110100001111100
310021100122212121020100
4133320113112201330
51030101300022421
623420434521100
72321202105141
oct377027264174
9107318777210
1034231642236
1113576962520
126774136190
1332c6c9c40c
14192a45a3c8
15d553a8c26
hex7f85d687c

34231642236 has 72 divisors (see below), whose sum is σ = 94441274928. Its totient is φ = 10368288000.

The previous prime is 34231642219. The next prime is 34231642301. The reversal of 34231642236 is 63224613243.

34231642236 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 1 + 642 + 2 + 3 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 34231642236.

It is a congruent 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, 860056 + ... + 898976.

It is an arithmetic number, because the mean of its divisors is an integer number (1311684374).

Almost surely, 234231642236 is an apocalyptic number.

34231642236 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34231642236 is an abundant number, since it is smaller than the sum of its proper divisors (60209632692).

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

34231642236 is a wasteful number, since it uses less digits than its factorization.

34231642236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41163 (or 41158 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The spelling of 34231642236 in words is "thirty-four billion, two hundred thirty-one million, six hundred forty-two thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 2221 4442 6663 8884 13326 19989 24431 26652 38921 39978 48862 73293 77842 79956 97724 116763 146586 155684 219879 233526 293172 350289 428131 439758 467052 700578 856262 879516 1284393 1401156 1712524 2568786 3853179 5137572 7706358 15412716 86443541 172887082 259330623 345774164 518661246 777991869 950878951 1037322492 1555983738 1901757902 2852636853 3111967476 3803515804 5705273706 8557910559 11410547412 17115821118 34231642236