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164434632 = 2336851443
BaseRepresentation
bin10011100110100…
…01001011001000
3102110102010220120
421303101023020
5314043402012
624152223240
74034446155
oct1163211310
9373363816
10164434632
118490119a
124709ab20
13280b40cb
1417ba522c
15e68158c
hex9cd12c8

164434632 has 16 divisors (see below), whose sum is σ = 411086640. Its totient is φ = 54811536.

The previous prime is 164434573. The next prime is 164434639. The reversal of 164434632 is 236434461.

It is a super-3 number, since 3×1644346323 (a number of 26 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 164434593 and 164434602.

It is not an unprimeable number, because it can be changed into a prime (164434639) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3425698 + ... + 3425745.

It is an arithmetic number, because the mean of its divisors is an integer number (25692915).

Almost surely, 2164434632 is an apocalyptic number.

164434632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164434632 is an abundant number, since it is smaller than the sum of its proper divisors (246652008).

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

164434632 is a wasteful number, since it uses less digits than its factorization.

164434632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6851452 (or 6851448 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 164434632 is about 12823.2067752181. The cubic root of 164434632 is about 547.8534870364.

The spelling of 164434632 in words is "one hundred sixty-four million, four hundred thirty-four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 6851443 13702886 20554329 27405772 41108658 54811544 82217316 164434632