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34864720 = 2451139619
BaseRepresentation
bin1000010011111…
…1111001010000
32102121022101221
42010333321100
532411132340
63243134424
7602226262
oct204777120
972538357
1034864720
1118753420
12b814414
1372b9317
1448b7b32
1530da44a
hex213fe50

34864720 has 40 divisors (see below), whose sum is σ = 88431840. Its totient is φ = 12677760.

The previous prime is 34864717. The next prime is 34864721. The reversal of 34864720 is 2746843.

34864720 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (34864721) by changing a digit.

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, 18930 + ... + 20689.

It is an arithmetic number, because the mean of its divisors is an integer number (2210796).

Almost surely, 234864720 is an apocalyptic number.

It is an amenable number.

34864720 is an abundant number, since it is smaller than the sum of its proper divisors (53567120).

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

34864720 is a wasteful number, since it uses less digits than its factorization.

34864720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39643 (or 39637 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 34864720 is about 5904.6354671563. The cubic root of 34864720 is about 326.6846489245.

The spelling of 34864720 in words is "thirty-four million, eight hundred sixty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 39619 79238 158476 198095 316952 396190 435809 633904 792380 871618 1584760 1743236 2179045 3169520 3486472 4358090 6972944 8716180 17432360 34864720