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34362972 = 22327136361
BaseRepresentation
bin1000001100010…
…1011001011100
32101122211010200
42003011121130
532244103342
63224303500
7565036410
oct203053134
971584120
1034362972
1118440456
12b611b90
137171b27
1447c6d40
15303b94c
hex20c565c

34362972 has 36 divisors (see below), whose sum is σ = 99271536. Its totient is φ = 9817920.

The previous prime is 34362971. The next prime is 34362983. The reversal of 34362972 is 27926343.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34362971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67929 + ... + 68432.

Almost surely, 234362972 is an apocalyptic number.

It is an amenable number.

34362972 is an abundant number, since it is smaller than the sum of its proper divisors (64908564).

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

34362972 is a wasteful number, since it uses less digits than its factorization.

34362972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136378 (or 136373 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 34362972 is about 5861.9938587481. The cubic root of 34362972 is about 325.1099336186.

The spelling of 34362972 in words is "thirty-four million, three hundred sixty-two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 136361 272722 409083 545444 818166 954527 1227249 1636332 1909054 2454498 2863581 3818108 4908996 5727162 8590743 11454324 17181486 34362972