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34520376 = 23311229571
BaseRepresentation
bin1000001110101…
…1110100111000
32101221211001110
42003223310320
532314123001
63231520320
7566263332
oct203536470
971854043
1034520376
1118538740
12b6890a0
1371c8677
144828452
15306d3d6
hex20ebd38

34520376 has 64 divisors (see below), whose sum is σ = 94723200. Its totient is φ = 10396800.

The previous prime is 34520333. The next prime is 34520377. The reversal of 34520376 is 67302543.

34520376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34520377) 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 15 ways as a sum of consecutive naturals, for example, 60171 + ... + 60741.

It is an arithmetic number, because the mean of its divisors is an integer number (1480050).

Almost surely, 234520376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34520376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47361600).

34520376 is an abundant number, since it is smaller than the sum of its proper divisors (60202824).

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

34520376 is a wasteful number, since it uses less digits than its factorization.

34520376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 34520376 is about 5875.4043265123. The cubic root of 34520376 is about 325.6055801775.

The spelling of 34520376 in words is "thirty-four million, five hundred twenty thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 229 264 458 571 687 916 1142 1374 1713 1832 2284 2519 2748 3426 4568 5038 5496 6281 6852 7557 10076 12562 13704 15114 18843 20152 25124 30228 37686 50248 60456 75372 130759 150744 261518 392277 523036 784554 1046072 1438349 1569108 2876698 3138216 4315047 5753396 8630094 11506792 17260188 34520376