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330628536 = 233272922621
BaseRepresentation
bin10011101101001…
…111110110111000
3212001010200002100
4103231033312320
51134120103121
652450303400
711123203410
oct2355176670
9761120070
10330628536
1115a6a4127
1292887b60
1353662bb4
1431ca7640
151e05e026
hex13b4fdb8

330628536 has 96 divisors (see below), whose sum is σ = 1058709600. Its totient is φ = 91203840.

The previous prime is 330628523. The next prime is 330628567. The reversal of 330628536 is 635826033.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 330628536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3306 + ... + 25926.

It is an arithmetic number, because the mean of its divisors is an integer number (11028225).

Almost surely, 2330628536 is an apocalyptic number.

330628536 is a gapful number since it is divisible by the number (36) 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 330628536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529354800).

330628536 is an abundant number, since it is smaller than the sum of its proper divisors (728081064).

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

330628536 is a wasteful number, since it uses less digits than its factorization.

330628536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22669 (or 22662 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 330628536 is about 18183.1937788717. The cubic root of 330628536 is about 691.4807770515.

The spelling of 330628536 in words is "three hundred thirty million, six hundred twenty-eight thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 56 58 63 72 84 87 116 126 168 174 203 232 252 261 348 406 504 522 609 696 812 1044 1218 1624 1827 2088 2436 3654 4872 7308 14616 22621 45242 67863 90484 135726 158347 180968 203589 271452 316694 407178 475041 542904 633388 656009 814356 950082 1266776 1312018 1425123 1628712 1900164 1968027 2624036 2850246 3800328 3936054 4592063 5248072 5700492 5904081 7872108 9184126 11400984 11808162 13776189 15744216 18368252 23616324 27552378 36736504 41328567 47232648 55104756 82657134 110209512 165314268 330628536