Search a number
-
+
34052403132 = 22331128663639
BaseRepresentation
bin11111101101101011…
…100110111110111100
310020220011121022102000
4133231223212332330
51024214403400012
623350553102300
72313564436146
oct375553467674
9106804538360
1034052403132
111349476a530
1267240b7990
133298b03987
14191071dc96
15d447a0ddc
hex7edae6fbc

34052403132 has 48 divisors (see below), whose sum is σ = 96309830400. Its totient is φ = 10318909680.

The previous prime is 34052403109. The next prime is 34052403257. The reversal of 34052403132 is 23130425043.

34052403132 is a `hidden beast` number, since 3 + 4 + 0 + 524 + 0 + 3 + 132 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 34052403096 and 34052403105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14330632 + ... + 14333007.

It is an arithmetic number, because the mean of its divisors is an integer number (2006454800).

Almost surely, 234052403132 is an apocalyptic number.

It is an amenable number.

34052403132 is an abundant number, since it is smaller than the sum of its proper divisors (62257427268).

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

34052403132 is a wasteful number, since it uses less digits than its factorization.

34052403132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28663663 (or 28663655 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 34052403132 its reverse (23130425043), we get a palindrome (57182828175).

The spelling of 34052403132 in words is "thirty-four billion, fifty-two million, four hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 28663639 57327278 85990917 114654556 171981834 257972751 315300029 343963668 515945502 630600058 773918253 945900087 1031891004 1261200116 1547836506 1891800174 2837700261 3095673012 3783600348 5675400522 8513100783 11350801044 17026201566 34052403132