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350093820 = 223518132237
BaseRepresentation
bin10100110111100…
…000000111111100
3220101202121102210
4110313200013330
51204111000240
654423420420
711450514456
oct2467400774
9811677383
10350093820
1116a68973a
12992b4710
13576b9b0b
14346d32d6
1520b06780
hex14de01fc

350093820 has 48 divisors (see below), whose sum is σ = 985709088. Its totient is φ = 92839680.

The previous prime is 350093803. The next prime is 350093851. The reversal of 350093820 is 28390053.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5259 + ... + 26978.

It is an arithmetic number, because the mean of its divisors is an integer number (20535606).

Almost surely, 2350093820 is an apocalyptic number.

350093820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

350093820 is an abundant number, since it is smaller than the sum of its proper divisors (635615268).

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

350093820 is a wasteful number, since it uses less digits than its factorization.

350093820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32430 (or 32428 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 350093820 is about 18710.7942108292. The cubic root of 350093820 is about 704.7928368730.

The spelling of 350093820 in words is "three hundred fifty million, ninety-three thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 181 362 543 724 905 1086 1810 2172 2715 3620 5430 10860 32237 64474 96711 128948 161185 193422 322370 386844 483555 644740 967110 1934220 5834897 11669794 17504691 23339588 29174485 35009382 58348970 70018764 87523455 116697940 175046910 350093820