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382820904 = 23341933061
BaseRepresentation
bin10110110100010…
…110001000101000
3222200100022120000
4112310112020220
51241000232104
6101553103000
712325631634
oct2664261050
9880308500
10382820904
11187102014
12a8257a60
136140815b
1438bb1dc4
152391d639
hex16d16228

382820904 has 80 divisors (see below), whose sum is σ = 1078160820. Its totient is φ = 126904320.

The previous prime is 382820899. The next prime is 382820923. The reversal of 382820904 is 409028283.

It can be written as a sum of positive squares in 2 ways, for example, as 374422500 + 8398404 = 19350^2 + 2898^2 .

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 19 ways as a sum of consecutive naturals, for example, 123534 + ... + 126594.

Almost surely, 2382820904 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 382820904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539080410).

382820904 is an abundant number, since it is smaller than the sum of its proper divisors (695339916).

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

382820904 is a wasteful number, since it uses less digits than its factorization.

382820904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3272 (or 3259 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 382820904 is about 19565.8095666906. The cubic root of 382820904 is about 726.1035300754.

The spelling of 382820904 in words is "three hundred eighty-two million, eight hundred twenty thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 193 216 324 386 579 648 772 1158 1544 1737 2316 3061 3474 4632 5211 6122 6948 9183 10422 12244 13896 15633 18366 20844 24488 27549 31266 36732 41688 55098 62532 73464 82647 110196 125064 165294 220392 247941 330588 495882 590773 661176 991764 1181546 1772319 1983528 2363092 3544638 4726184 5316957 7089276 10633914 14178552 15950871 21267828 31901742 42535656 47852613 63803484 95705226 127606968 191410452 382820904