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34533090 = 23252571493
BaseRepresentation
bin1000001110111…
…0111011100010
32101222110111100
42003232323202
532320024330
63232055230
7566345364
oct203567342
971873440
1034533090
1118547249
12b694516
1372013a7
14482cd34
153072060
hex20eeee2

34533090 has 48 divisors (see below), whose sum is σ = 90195768. Its totient is φ = 9166848.

The previous prime is 34533077. The next prime is 34533091. The reversal of 34533090 is 9033543.

It can be written as a sum of positive squares in 4 ways, for example, as 34327881 + 205209 = 5859^2 + 453^2 .

It is not an unprimeable number, because it can be changed into a prime (34533091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22384 + ... + 23876.

Almost surely, 234533090 is an apocalyptic number.

34533090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34533090 is an abundant number, since it is smaller than the sum of its proper divisors (55662678).

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

34533090 is a wasteful number, since it uses less digits than its factorization.

34533090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 34533090 is about 5876.4861949978. The cubic root of 34533090 is about 325.6455492402.

The spelling of 34533090 in words is "thirty-four million, five hundred thirty-three thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 257 514 771 1285 1493 1542 2313 2570 2986 3855 4479 4626 7465 7710 8958 11565 13437 14930 22395 23130 26874 44790 67185 134370 383701 767402 1151103 1918505 2302206 3453309 3837010 5755515 6906618 11511030 17266545 34533090