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164334640 = 2457192857
BaseRepresentation
bin10011100101110…
…00110000110000
3102110020001202011
421302320300300
5314032202030
624150132304
74033551511
oct1162706060
9373201664
10164334640
1184843058
1247051094
132807a742
1417b7aa08
15e661b2a
hex9cb8c30

164334640 has 40 divisors (see below), whose sum is σ = 382743360. Its totient is φ = 65619456.

The previous prime is 164334623. The next prime is 164334641. The reversal of 164334640 is 46433461.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (164334641) 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, 56092 + ... + 58948.

It is an arithmetic number, because the mean of its divisors is an integer number (9568584).

Almost surely, 2164334640 is an apocalyptic number.

164334640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164334640 is an abundant number, since it is smaller than the sum of its proper divisors (218408720).

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

164334640 is a wasteful number, since it uses less digits than its factorization.

164334640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3589 (or 3583 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The square root of 164334640 is about 12819.3073135798. The cubic root of 164334640 is about 547.7424153946.

The spelling of 164334640 in words is "one hundred sixty-four million, three hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 719 1438 2857 2876 3595 5714 5752 7190 11428 11504 14285 14380 22856 28570 28760 45712 57140 57520 114280 228560 2054183 4108366 8216732 10270915 16433464 20541830 32866928 41083660 82167320 164334640