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164357244 = 223259223347
BaseRepresentation
bin10011100101111…
…10010001111100
3102110021012202100
421302332101330
5314033412434
624150425100
74034004432
oct1162762174
9373235670
10164357244
1184859037
1247062190
1328087b0c
1417b84d52
15e668699
hex9cbe47c

164357244 has 72 divisors (see below), whose sum is σ = 425617920. Its totient is φ = 53461152.

The previous prime is 164357227. The next prime is 164357251. The reversal of 164357244 is 442753461.

164357244 is a `hidden beast` number, since 1 + 6 + 43 + 572 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 164357199 and 164357208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 473479 + ... + 473825.

It is an arithmetic number, because the mean of its divisors is an integer number (5911360).

Almost surely, 2164357244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164357244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212808960).

164357244 is an abundant number, since it is smaller than the sum of its proper divisors (261260676).

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

164357244 is a wasteful number, since it uses less digits than its factorization.

164357244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 634 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 164357244 is about 12820.1889221649. The cubic root of 164357244 is about 547.7675279777.

The spelling of 164357244 in words is "one hundred sixty-four million, three hundred fifty-seven thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 223 236 347 354 446 531 669 694 708 892 1041 1062 1338 1388 2007 2082 2124 2676 3123 4014 4164 6246 8028 12492 13157 20473 26314 39471 40946 52628 61419 77381 78942 81892 118413 122838 154762 157884 184257 232143 236826 245676 309524 368514 464286 473652 696429 737028 928572 1392858 2785716 4565479 9130958 13696437 18261916 27392874 41089311 54785748 82178622 164357244