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164414336 = 271284487
BaseRepresentation
bin10011100110011…
…00001110000000
3102110101010001212
421303030032000
5314042224321
624151545252
74034333042
oct1163141600
9373333055
10164414336
1184897a19
124708b228
13280a7ab8
1417b9ba92
15e67a55b
hex9ccc380

164414336 has 16 divisors (see below), whose sum is σ = 327544440. Its totient is φ = 82207104.

The previous prime is 164414317. The next prime is 164414357. The reversal of 164414336 is 633414461.

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-3 number, since 3×1644143363 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 642116 + ... + 642371.

Almost surely, 2164414336 is an apocalyptic number.

164414336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164414336 is a deficient number, since it is larger than the sum of its proper divisors (163130104).

164414336 is an equidigital number, since it uses as much as digits as its factorization.

164414336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284501 (or 1284489 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The square root of 164414336 is about 12822.4153730879. The cubic root of 164414336 is about 547.8309457754.

Adding to 164414336 its reverse (633414461), we get a palindrome (797828797).

The spelling of 164414336 in words is "one hundred sixty-four million, four hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 1284487 2568974 5137948 10275896 20551792 41103584 82207168 164414336