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164501334 = 23337281293
BaseRepresentation
bin10011100111000…
…01011101010110
3102110112112102000
421303201131112
5314103020314
624153500130
74035144504
oct1163413526
9373475360
10164501334
1184947318
1247111646
132810858a
1417bc1674
15e696209
hex9ce1756

164501334 has 64 divisors (see below), whose sum is σ = 378060480. Its totient is φ = 52980480.

The previous prime is 164501327. The next prime is 164501341. The reversal of 164501334 is 433105461.

164501334 is a `hidden beast` number, since 1 + 645 + 0 + 13 + 3 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (164501327) and next prime (164501341).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 164501298 and 164501307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 561292 + ... + 561584.

It is an arithmetic number, because the mean of its divisors is an integer number (5907195).

Almost surely, 2164501334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164501334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189030240).

164501334 is an abundant number, since it is smaller than the sum of its proper divisors (213559146).

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

164501334 is a wasteful number, since it uses less digits than its factorization.

164501334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 164501334 is about 12825.8073430096. The cubic root of 164501334 is about 547.9275549357.

Adding to 164501334 its reverse (433105461), we get a palindrome (597606795).

The spelling of 164501334 in words is "one hundred sixty-four million, five hundred one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 281 293 333 562 586 666 843 879 999 1686 1758 1998 2529 2637 5058 5274 7587 7911 10397 10841 15174 15822 20794 21682 31191 32523 62382 65046 82333 93573 97569 164666 187146 195138 246999 280719 292707 493998 561438 585414 740997 1481994 2222991 3046321 4445982 6092642 9138963 18277926 27416889 54833778 82250667 164501334