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34304952 = 23311211813
BaseRepresentation
bin1000001011011…
…1001110111000
32101112212112210
42002313032320
532240224302
63223135120
7564405303
oct202671670
971485483
1034304952
1118400900
12b5a44a0
1371515b6
1447adb3a
15302966c
hex20b73b8

34304952 has 48 divisors (see below), whose sum is σ = 94275720. Its totient is φ = 10394560.

The previous prime is 34304917. The next prime is 34304981. The reversal of 34304952 is 25940343.

34304952 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 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 11 ways as a sum of consecutive naturals, for example, 3003 + ... + 8810.

Almost surely, 234304952 is an apocalyptic number.

It is an amenable number.

34304952 is an abundant number, since it is smaller than the sum of its proper divisors (59970768).

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

34304952 is a wasteful number, since it uses less digits than its factorization.

34304952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11844 (or 11829 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 34304952 is about 5857.0429399143. The cubic root of 34304952 is about 324.9268537555.

The spelling of 34304952 in words is "thirty-four million, three hundred four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 11813 23626 35439 47252 70878 94504 129943 141756 259886 283512 389829 519772 779658 1039544 1429373 1559316 2858746 3118632 4288119 5717492 8576238 11434984 17152476 34304952