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34860720 = 2435145253
BaseRepresentation
bin1000010011111…
…0111010110000
32102121002220210
42010332322300
532411020340
63243104120
7602211516
oct204767260
972532823
1034860720
1118750414
12b812040
1372b755b
1448b64b6
1530d9180
hex213eeb0

34860720 has 40 divisors (see below), whose sum is σ = 108068976. Its totient is φ = 9296128.

The previous prime is 34860673. The next prime is 34860731. The reversal of 34860720 is 2706843.

34860720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72387 + ... + 72866.

Almost surely, 234860720 is an apocalyptic number.

34860720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34860720 is an abundant number, since it is smaller than the sum of its proper divisors (73208256).

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

34860720 is a wasteful number, since it uses less digits than its factorization.

34860720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145269 (or 145263 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 34860720 is about 5904.2967405103. The cubic root of 34860720 is about 326.6721550283.

The spelling of 34860720 in words is "thirty-four million, eight hundred sixty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 145253 290506 435759 581012 726265 871518 1162024 1452530 1743036 2178795 2324048 2905060 3486072 4357590 5810120 6972144 8715180 11620240 17430360 34860720