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34341968 = 2419112967
BaseRepresentation
bin1000001100000…
…0010001010000
32101121202022202
42003000101100
532242420333
63224022332
7564621233
oct203002120
971552282
1034341968
11184266a1
12b6019a8
1371653bb
1447bd41a
1530355e8
hex20c0450

34341968 has 20 divisors (see below), whose sum is σ = 70040160. Its totient is φ = 16267104.

The previous prime is 34341959. The next prime is 34341973. The reversal of 34341968 is 86914343.

It is a super-2 number, since 2×343419682 = 2358741532226048, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56180 + ... + 56787.

It is an arithmetic number, because the mean of its divisors is an integer number (3502008).

Almost surely, 234341968 is an apocalyptic number.

34341968 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

34341968 is an abundant number, since it is smaller than the sum of its proper divisors (35698192).

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

34341968 is a wasteful number, since it uses less digits than its factorization.

34341968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112994 (or 112988 counting only the distinct ones).

The product of its digits is 62208, while the sum is 38.

The square root of 34341968 is about 5860.2020442985. The cubic root of 34341968 is about 325.0436801252.

The spelling of 34341968 in words is "thirty-four million, three hundred forty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 19 38 76 152 304 112967 225934 451868 903736 1807472 2146373 4292746 8585492 17170984 34341968