Search a number
-
+
3135674052 = 223372592531
BaseRepresentation
bin1011101011100110…
…1001011011000100
322002112022202011000
42322321221123010
522410213032202
61235052213300
7140463534600
oct27271513304
98075282130
103135674052
11136a008365
1273616a230
133ac838844
1421a642500
1513544391c
hexbae696c4

3135674052 has 72 divisors (see below), whose sum is σ = 9456810720. Its totient is φ = 895905360.

The previous prime is 3135674027. The next prime is 3135674081. The reversal of 3135674052 is 2504765313.

3135674052 is a `hidden beast` number, since 3 + 1 + 3 + 567 + 40 + 52 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3135673998 and 3135674016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290974 + ... + 301557.

Almost surely, 23135674052 is an apocalyptic number.

It is an amenable number.

3135674052 is an abundant number, since it is smaller than the sum of its proper divisors (6321136668).

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

3135674052 is a wasteful number, since it uses less digits than its factorization.

3135674052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592558 (or 592543 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 3135674052 is about 55997.0896743750. The cubic root of 3135674052 is about 1463.6715703738.

The spelling of 3135674052 in words is "three billion, one hundred thirty-five million, six hundred seventy-four thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 592531 1185062 1777593 2370124 3555186 4147717 5332779 7110372 8295434 10665558 12443151 15998337 16590868 21331116 24886302 29034019 31996674 37329453 49772604 58068038 63993348 74658906 87102057 111988359 116136076 149317812 174204114 223976718 261306171 348408228 447953436 522612342 783918513 1045224684 1567837026 3135674052