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34367328 = 253413259
BaseRepresentation
bin1000001100011…
…0011101100000
32101200001010000
42003012131200
532244223303
63224340000
7565055202
oct203063540
971601100
1034367328
1118443756
12b614600
137173ac8
1447c8772
15303cda3
hex20c6760

34367328 has 60 divisors (see below), whose sum is σ = 101080980. Its totient is φ = 11454912.

The previous prime is 34367327. The next prime is 34367329. The reversal of 34367328 is 82376343.

It is an interprime number because it is at equal distance from previous prime (34367327) and next prime (34367329).

It is a super-2 number, since 2×343673282 = 2362226467719168, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 34367292 and 34367301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34367321) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4038 + ... + 9221.

It is an arithmetic number, because the mean of its divisors is an integer number (1684683).

Almost surely, 234367328 is an apocalyptic number.

It is an amenable number.

34367328 is an abundant number, since it is smaller than the sum of its proper divisors (66713652).

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

34367328 is a wasteful number, since it uses less digits than its factorization.

34367328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13281 (or 13264 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 34367328 is about 5862.3653929110. The cubic root of 34367328 is about 325.1236704886.

The spelling of 34367328 in words is "thirty-four million, three hundred sixty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 13259 26518 39777 53036 79554 106072 119331 159108 212144 238662 318216 357993 424288 477324 636432 715986 954648 1073979 1272864 1431972 1909296 2147958 2863944 3818592 4295916 5727888 8591832 11455776 17183664 34367328