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164354080 = 2551193383
BaseRepresentation
bin10011100101111…
…01100000100000
3102110021001102011
421302331200200
5314033312310
624150402304
74033662262
oct1162754040
9373231364
10164354080
1184856720
1247060394
1328086547
1417b83b32
15e66778a
hex9cbd820

164354080 has 48 divisors (see below), whose sum is σ = 423589824. Its totient is φ = 59764480.

The previous prime is 164354077. The next prime is 164354081. The reversal of 164354080 is 80453461.

It is a happy number.

It is a super-2 number, since 2×1643540802 = 54024527225292800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164354081) 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, 44932 + ... + 48451.

It is an arithmetic number, because the mean of its divisors is an integer number (8824788).

Almost surely, 2164354080 is an apocalyptic number.

164354080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164354080 is an abundant number, since it is smaller than the sum of its proper divisors (259235744).

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

164354080 is a wasteful number, since it uses less digits than its factorization.

164354080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93409 (or 93401 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 164354080 is about 12820.0655224535. The cubic root of 164354080 is about 547.7640129768.

The spelling of 164354080 in words is "one hundred sixty-four million, three hundred fifty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 93383 186766 373532 466915 747064 933830 1027213 1494128 1867660 2054426 2988256 3735320 4108852 5136065 7470640 8217704 10272130 14941280 16435408 20544260 32870816 41088520 82177040 164354080