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164976336 = 243272103227
BaseRepresentation
bin10011101010101…
…01011011010000
3102111102122222200
421311111123100
5314213220321
624212003200
74042163400
oct1165253320
9374378880
10164976336
1185141188
1247300500
1328243845
1417ca6800
15e73bd26
hex9d556d0

164976336 has 180 divisors, whose sum is σ = 544688352. Its totient is φ = 46472832.

The previous prime is 164976319. The next prime is 164976367. The reversal of 164976336 is 633679461.

164976336 is a `hidden beast` number, since 1 + 6 + 4 + 9 + 7 + 633 + 6 = 666.

164976336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 164976291 and 164976300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 726655 + ... + 726881.

Almost surely, 2164976336 is an apocalyptic number.

164976336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

164976336 is the 7416-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164976336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272344176).

164976336 is an abundant number, since it is smaller than the sum of its proper divisors (379712016).

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

164976336 is a wasteful number, since it uses less digits than its factorization.

164976336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 342 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 164976336 is about 12844.3114256857. The cubic root of 164976336 is about 548.4544332902.

The spelling of 164976336 in words is "one hundred sixty-four million, nine hundred seventy-six thousand, three hundred thirty-six".