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34283664 = 2432238081
BaseRepresentation
bin1000001011001…
…0000010010000
32101111210100100
42002302002100
532234034124
63222452400
7564256242
oct202620220
971453310
1034283664
1118396908
12b594100
1371449bc
1447a6092
1530231c9
hex20b2090

34283664 has 30 divisors (see below), whose sum is σ = 95947046. Its totient is φ = 11427840.

The previous prime is 34283651. The next prime is 34283671. The reversal of 34283664 is 46638243.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 24920064 + 9363600 = 4992^2 + 3060^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 118897 + ... + 119184.

Almost surely, 234283664 is an apocalyptic number.

It is an amenable number.

34283664 is an abundant number, since it is smaller than the sum of its proper divisors (61663382).

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

34283664 is a wasteful number, since it uses less digits than its factorization.

34283664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238095 (or 238086 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 34283664 is about 5855.2253586006. The cubic root of 34283664 is about 324.8596285325.

The spelling of 34283664 in words is "thirty-four million, two hundred eighty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 238081 476162 714243 952324 1428486 1904648 2142729 2856972 3809296 4285458 5713944 8570916 11427888 17141832 34283664