Search a number
-
+
34536690 = 23251722573
BaseRepresentation
bin1000001110111…
…1110011110010
32101222122102200
42003233303302
532320133230
63232124030
7566362026
oct203576362
971878380
1034536690
1118549a21
12b696616
137202c16
144830386
153073160
hex20efcf2

34536690 has 48 divisors (see below), whose sum is σ = 95081688. Its totient is φ = 8667648.

The previous prime is 34536659. The next prime is 34536713. The reversal of 34536690 is 9663543.

34536690 is a `hidden beast` number, since 34 + 536 + 6 + 90 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23824161 + 10712529 = 4881^2 + 3273^2 .

It is a super-2 number, since 2×345366902 = 2385565912312200, which contains 22 as substring.

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, 9757 + ... + 12816.

Almost surely, 234536690 is an apocalyptic number.

34536690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34536690 is an abundant number, since it is smaller than the sum of its proper divisors (60544998).

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

34536690 is a wasteful number, since it uses less digits than its factorization.

34536690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22603 (or 22600 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 34536690 is about 5876.7924925081. The cubic root of 34536690 is about 325.6568647953.

The spelling of 34536690 in words is "thirty-four million, five hundred thirty-six thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 22573 45146 67719 112865 135438 203157 225730 338595 383741 406314 677190 767482 1015785 1151223 1918705 2031570 2302446 3453669 3837410 5756115 6907338 11512230 17268345 34536690