Search a number
-
+
34996560 = 2435145819
BaseRepresentation
bin1000010110000…
…0000101010000
32102212000020220
42011200011100
532424342220
63250033040
7603315534
oct205400520
972760226
1034996560
1118833485
12b878780
137334331
14490dbc4
153114540
hex2160150

34996560 has 40 divisors (see below), whose sum is σ = 108490080. Its totient is φ = 9332352.

The previous prime is 34996543. The next prime is 34996607. The reversal of 34996560 is 6569943.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72670 + ... + 73149.

It is an arithmetic number, because the mean of its divisors is an integer number (2712252).

Almost surely, 234996560 is an apocalyptic number.

34996560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34996560 is an abundant number, since it is smaller than the sum of its proper divisors (73493520).

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

34996560 is a wasteful number, since it uses less digits than its factorization.

34996560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145835 (or 145829 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The square root of 34996560 is about 5915.7890428919. The cubic root of 34996560 is about 327.0959140314.

The spelling of 34996560 in words is "thirty-four million, nine hundred ninety-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 145819 291638 437457 583276 729095 874914 1166552 1458190 1749828 2187285 2333104 2916380 3499656 4374570 5832760 6999312 8749140 11665520 17498280 34996560