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423294660 = 22345416373
BaseRepresentation
bin11001001110101…
…111011011000100
31002111111121010000
4121032233123010
51331330412120
6110000401300
713326642135
oct3116573304
91074447100
10423294660
111a7a365a8
12b9916230
1369909519
1440309c8c
1527265990
hex193af6c4

423294660 has 120 divisors (see below), whose sum is σ = 1360492056. Its totient is φ = 110108160.

The previous prime is 423294659. The next prime is 423294721. The reversal of 423294660 is 66492324.

It can be written as a sum of positive squares in 4 ways, for example, as 19766916 + 403527744 = 4446^2 + 20088^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 63234 + ... + 69606.

Almost surely, 2423294660 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 423294660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680246028).

423294660 is an abundant number, since it is smaller than the sum of its proper divisors (937197396).

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

423294660 is a wasteful number, since it uses less digits than its factorization.

423294660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6435 (or 6424 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 423294660 is about 20574.1259838662. The cubic root of 423294660 is about 750.8403380909.

The spelling of 423294660 in words is "four hundred twenty-three million, two hundred ninety-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 81 82 90 108 123 135 162 164 180 205 246 270 324 369 405 410 492 540 615 738 810 820 1107 1230 1476 1620 1845 2214 2460 3321 3690 4428 5535 6373 6642 7380 11070 12746 13284 16605 19119 22140 25492 31865 33210 38238 57357 63730 66420 76476 95595 114714 127460 172071 191190 229428 261293 286785 344142 382380 516213 522586 573570 688284 783879 860355 1032426 1045172 1147140 1306465 1567758 1720710 2064852 2351637 2581065 2612930 3135516 3441420 3919395 4703274 5162130 5225860 7054911 7838790 9406548 10324260 11758185 14109822 15677580 21164733 23516370 28219644 35274555 42329466 47032740 70549110 84658932 105823665 141098220 211647330 423294660