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34929210 = 2356119087
BaseRepresentation
bin1000010100111…
…1101000111010
32102201120212110
42011033220322
532420213320
63244353150
7602615301
oct205175072
972646773
1034929210
1118797918
12b8457b6
13730c794
1448d3438
1530ee5e0
hex214fa3a

34929210 has 32 divisors (see below), whose sum is σ = 85208832. Its totient is φ = 9161280.

The previous prime is 34929197. The next prime is 34929211. The reversal of 34929210 is 1292943.

34929210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×349292102 = 2440099422448200, which contains 22 as substring.

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

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (34929211) 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, 7714 + ... + 11373.

It is an arithmetic number, because the mean of its divisors is an integer number (2662776).

Almost surely, 234929210 is an apocalyptic number.

34929210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34929210 is an abundant number, since it is smaller than the sum of its proper divisors (50279622).

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

34929210 is a wasteful number, since it uses less digits than its factorization.

34929210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19158.

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 34929210 is about 5910.0939078834. The cubic root of 34929210 is about 326.8859499955.

The spelling of 34929210 in words is "thirty-four million, nine hundred twenty-nine thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 305 366 610 915 1830 19087 38174 57261 95435 114522 190870 286305 572610 1164307 2328614 3492921 5821535 6985842 11643070 17464605 34929210