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330256020 = 223531277641
BaseRepresentation
bin10011101011110…
…100111010010100
3212000102202002110
4103223310322110
51134021143040
652434311020
711120062353
oct2353647224
9760382073
10330256020
1115a46a266
1292728470
1353562483
1431c0b99a
151ded8980
hex13af4e94

330256020 has 96 divisors (see below), whose sum is σ = 959486976. Its totient is φ = 84787200.

The previous prime is 330256009. The next prime is 330256033. The reversal of 330256020 is 20652033.

It is a congruent number.

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, 514900 + ... + 515540.

It is an arithmetic number, because the mean of its divisors is an integer number (9994656).

Almost surely, 2330256020 is an apocalyptic number.

330256020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330256020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479743488).

330256020 is an abundant number, since it is smaller than the sum of its proper divisors (629230956).

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

330256020 is a wasteful number, since it uses less digits than its factorization.

330256020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 330256020 is about 18172.9474769505. The cubic root of 330256020 is about 691.2209845390.

The spelling of 330256020 in words is "three hundred thirty million, two hundred fifty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 277 310 372 465 554 620 641 831 930 1108 1282 1385 1662 1860 1923 2564 2770 3205 3324 3846 4155 5540 6410 7692 8310 8587 9615 12820 16620 17174 19230 19871 25761 34348 38460 39742 42935 51522 59613 79484 85870 99355 103044 119226 128805 171740 177557 198710 238452 257610 298065 355114 397420 515220 532671 596130 710228 887785 1065342 1192260 1775570 2130684 2663355 3551140 5326710 5504267 10653420 11008534 16512801 22017068 27521335 33025602 55042670 66051204 82564005 110085340 165128010 330256020