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34014966 = 2323812
BaseRepresentation
bin1000000111000…
…0011011110110
32101000010202120
42001300123312
532201434331
63213020410
7562056666
oct201603366
971003676
1034014966
1118222a47
12b484706
13707c5cb
1447361a6
152ebd796
hex20706f6

34014966 has 12 divisors (see below), whose sum is σ = 68058516. Its totient is φ = 11333560.

The previous prime is 34014961. The next prime is 34015013. The reversal of 34014966 is 66941043.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34014961) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13096 + ... + 15476.

It is an arithmetic number, because the mean of its divisors is an integer number (5671543).

Almost surely, 234014966 is an apocalyptic number.

34014966 is an abundant number, since it is smaller than the sum of its proper divisors (34043550).

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

34014966 is an frugal number, since it uses more digits than its factorization.

34014966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4767 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 34014966 is about 5832.2350775667. The cubic root of 34014966 is about 324.0087065181.

It can be divided in two parts, 34014 and 966, that added together give a triangular number (34980 = T264).

The spelling of 34014966 in words is "thirty-four million, fourteen thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 2381 4762 7143 14286 5669161 11338322 17007483 34014966