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330232104 = 2332371131097
BaseRepresentation
bin10011101011101…
…111000100101000
3212000101112021200
4103223233010220
51134014411404
652434004200
711116632546
oct2353570450
9760345250
10330232104
1115a4532a4
1292716660
1353554617
1431c02d96
151ded1839
hex13aef128

330232104 has 96 divisors (see below), whose sum is σ = 927524520. Its totient is φ = 106057728.

The previous prime is 330232099. The next prime is 330232117. The reversal of 330232104 is 401232033.

330232104 is a `hidden beast` number, since 330 + 232 + 104 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 224100900 + 106131204 = 14970^2 + 10302^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 300484 + ... + 301580.

Almost surely, 2330232104 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 330232104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463762260).

330232104 is an abundant number, since it is smaller than the sum of its proper divisors (597292416).

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

330232104 is a wasteful number, since it uses less digits than its factorization.

330232104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 330232104 is about 18172.2894540011. The cubic root of 330232104 is about 691.2042988577.

Adding to 330232104 its reverse (401232033), we get a palindrome (731464137).

The spelling of 330232104 in words is "three hundred thirty million, two hundred thirty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 113 148 222 226 296 333 339 444 452 666 678 888 904 1017 1097 1332 1356 2034 2194 2664 2712 3291 4068 4181 4388 6582 8136 8362 8776 9873 12543 13164 16724 19746 25086 26328 33448 37629 39492 40589 50172 75258 78984 81178 100344 121767 123961 150516 162356 243534 247922 301032 324712 365301 371883 487068 495844 730602 743766 974136 991688 1115649 1461204 1487532 2231298 2922408 2975064 4462596 4586557 8925192 9173114 13759671 18346228 27519342 36692456 41279013 55038684 82558026 110077368 165116052 330232104