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370816420 = 225132313539
BaseRepresentation
bin10110000110100…
…011010110100100
3221211202102111111
4112012203112210
51224412111140
6100443514404
712121613302
oct2606432644
9854672444
10370816420
11180352957
12a4228a04
135ba94100
1437369272
152284b7ea
hex161a35a4

370816420 has 72 divisors (see below), whose sum is σ = 870670080. Its totient is φ = 132462720.

The previous prime is 370816403. The next prime is 370816469. The reversal of 370816420 is 24618073.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103011 + ... + 106549.

It is an arithmetic number, because the mean of its divisors is an integer number (12092640).

Almost surely, 2370816420 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 370816420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435335040).

370816420 is an abundant number, since it is smaller than the sum of its proper divisors (499853660).

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

370816420 is a wasteful number, since it uses less digits than its factorization.

370816420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3605 (or 3590 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 370816420 is about 19256.5941952361. The cubic root of 370816420 is about 718.4330764587.

The spelling of 370816420 in words is "three hundred seventy million, eight hundred sixteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 169 260 310 338 403 620 676 806 845 1612 1690 2015 3380 3539 4030 5239 7078 8060 10478 14156 17695 20956 26195 35390 46007 52390 70780 92014 104780 109709 184028 219418 230035 438836 460070 548545 598091 920140 1097090 1196182 1426217 2194180 2392364 2852434 2990455 5704868 5980910 7131085 11961820 14262170 18540821 28524340 37081642 74163284 92704105 185408210 370816420