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34232331132 = 2234437433307
BaseRepresentation
bin11111111000011001…
…111110101101111100
310021100201011121020000
4133320121332231330
51030101434044012
623420501354300
72321211004446
oct377031765574
9107321147200
1034232331132
111357729305a
126774408990
1332c7180b4c
14192a599496
15d55492ddc
hex7f867eb7c

34232331132 has 120 divisors (see below), whose sum is σ = 91722212736. Its totient is φ = 11127043872.

The previous prime is 34232331131. The next prime is 34232331191. The reversal of 34232331132 is 23113323243.

34232331132 is a `hidden beast` number, since 3 + 423 + 233 + 1 + 1 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 34232331096 and 34232331105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34232331131) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10349823 + ... + 10353129.

Almost surely, 234232331132 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 34232331132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45861106368).

34232331132 is an abundant number, since it is smaller than the sum of its proper divisors (57489881604).

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

34232331132 is a wasteful number, since it uses less digits than its factorization.

34232331132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4109 (or 4098 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 34232331132 its reverse (23113323243), we get a palindrome (57345654375).

The spelling of 34232331132 in words is "thirty-four billion, two hundred thirty-two million, three hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 258 324 387 516 743 774 1161 1486 1548 2229 2322 2972 3307 3483 4458 4644 6614 6687 6966 8916 9921 13228 13374 13932 19842 20061 26748 29763 31949 39684 40122 59526 60183 63898 80244 89289 95847 119052 120366 127796 142201 178578 191694 240732 267867 284402 287541 357156 383388 426603 535734 568804 575082 853206 862623 1071468 1150164 1279809 1706412 1725246 2457101 2559618 2587869 3450492 3839427 4914202 5119236 5175738 7371303 7678854 9828404 10351476 11518281 14742606 15357708 22113909 23036562 29485212 44227818 46073124 66341727 88455636 105655343 132683454 199025181 211310686 265366908 316966029 398050362 422621372 633932058 796100724 950898087 1267864116 1901796174 2852694261 3803592348 5705388522 8558082783 11410777044 17116165566 34232331132