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164103324 = 223711177601
BaseRepresentation
bin10011100100000…
…00010010011100
3102102210022102220
421302000102130
5314002301244
624141145340
74031566230
oct1162002234
9372708386
10164103324
11846a5290
1246b5b250
1327cc9378
1417b1a5c0
15e618319
hex9c8049c

164103324 has 48 divisors (see below), whose sum is σ = 477394176. Its totient is φ = 42624000.

The previous prime is 164103319. The next prime is 164103337. The reversal of 164103324 is 423301461.

It is a junction number, because it is equal to n+sod(n) for n = 164103294 and 164103303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87877 + ... + 89724.

It is an arithmetic number, because the mean of its divisors is an integer number (9945712).

Almost surely, 2164103324 is an apocalyptic number.

164103324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

164103324 is an abundant number, since it is smaller than the sum of its proper divisors (313290852).

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

164103324 is a wasteful number, since it uses less digits than its factorization.

164103324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177626 (or 177624 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 164103324 is about 12810.2819641099. The cubic root of 164103324 is about 547.4852955747.

Adding to 164103324 its reverse (423301461), we get a palindrome (587404785).

The spelling of 164103324 in words is "one hundred sixty-four million, one hundred three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 177601 355202 532803 710404 1065606 1243207 1953611 2131212 2486414 3729621 3907222 4972828 5860833 7459242 7814444 11721666 13675277 14918484 23443332 27350554 41025831 54701108 82051662 164103324