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164325744 = 24321129431
BaseRepresentation
bin10011100101101…
…10100101110000
3102110012121112200
421302312211300
5314031410434
624150023200
74033513542
oct1162664560
9373177480
10164325744
1184837400
1247047b00
132807668b
1417b77692
15e65e199
hex9cb6970

164325744 has 90 divisors (see below), whose sum is σ = 505545768. Its totient is φ = 49790400.

The previous prime is 164325739. The next prime is 164325751. The reversal of 164325744 is 447523461.

164325744 is a `hidden beast` number, since 1 + 643 + 2 + 5 + 7 + 4 + 4 = 666.

164325744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 164325699 and 164325708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12709 + ... + 22139.

Almost surely, 2164325744 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 164325744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252772884).

164325744 is an abundant number, since it is smaller than the sum of its proper divisors (341220024).

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

164325744 is a wasteful number, since it uses less digits than its factorization.

164325744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9467 (or 9447 counting only the distinct ones).

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

The square root of 164325744 is about 12818.9603322578. The cubic root of 164325744 is about 547.7325314885.

The spelling of 164325744 in words is "one hundred sixty-four million, three hundred twenty-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2178 2904 4356 5808 8712 9431 17424 18862 28293 37724 56586 75448 84879 103741 113172 150896 169758 207482 226344 311223 339516 414964 452688 622446 679032 829928 933669 1141151 1244892 1358064 1659856 1867338 2282302 2489784 3423453 3734676 4564604 4979568 6846906 7469352 9129208 10270359 13693812 14938704 18258416 20540718 27387624 41081436 54775248 82162872 164325744