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412776330 = 235194871487
BaseRepresentation
bin11000100110100…
…111011110001010
31001202201012200020
4120212213132022
51321132320310
6104543121310
713141353351
oct3046473612
91052635606
10412776330
111a2001a6a
12b62a3236
1367695a65
143cb6c998
1526389170
hex189a778a

412776330 has 64 divisors (see below), whose sum is σ = 1045647360. Its totient is φ = 103996224.

The previous prime is 412776323. The next prime is 412776367. The reversal of 412776330 is 33677214.

It is a junction number, because it is equal to n+sod(n) for n = 412776291 and 412776300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276847 + ... + 278333.

It is an arithmetic number, because the mean of its divisors is an integer number (16338240).

Almost surely, 2412776330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412776330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522823680).

412776330 is an abundant number, since it is smaller than the sum of its proper divisors (632871030).

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

412776330 is a wasteful number, since it uses less digits than its factorization.

412776330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003.

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 412776330 is about 20316.8976470326. The cubic root of 412776330 is about 744.5689622579.

The spelling of 412776330 in words is "four hundred twelve million, seven hundred seventy-six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 487 570 974 1461 1487 2435 2922 2974 4461 4870 7305 7435 8922 9253 14610 14870 18506 22305 27759 28253 44610 46265 55518 56506 84759 92530 138795 141265 169518 277590 282530 423795 724169 847590 1448338 2172507 3620845 4345014 7241690 10862535 13759211 21725070 27518422 41277633 68796055 82555266 137592110 206388165 412776330