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164534744 = 231115711909
BaseRepresentation
bin10011100111010…
…01100111011000
3102110121020020102
421303221213120
5314110102434
624154314532
74035344063
oct1163514730
9373536212
10164534744
118496a430
1247128a48
132811a84a
1417bcd8da
15e6a107e
hex9ce99d8

164534744 has 32 divisors (see below), whose sum is σ = 338720400. Its totient is φ = 74305920.

The previous prime is 164534743. The next prime is 164534753. The reversal of 164534744 is 447435461.

It is a junction number, because it is equal to n+sod(n) for n = 164534698 and 164534707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164534743) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7862 + ... + 19770.

Almost surely, 2164534744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164534744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169360200).

164534744 is an abundant number, since it is smaller than the sum of its proper divisors (174185656).

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

164534744 is a wasteful number, since it uses less digits than its factorization.

164534744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12083 (or 12079 counting only the distinct ones).

The product of its digits is 161280, while the sum is 38.

The square root of 164534744 is about 12827.1097290075. The cubic root of 164534744 is about 547.9646468748.

The spelling of 164534744 in words is "one hundred sixty-four million, five hundred thirty-four thousand, seven hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 157 314 628 1256 1727 3454 6908 11909 13816 23818 47636 95272 130999 261998 523996 1047992 1869713 3739426 7478852 14957704 20566843 41133686 82267372 164534744