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330232032 = 25331329401
BaseRepresentation
bin10011101011101…
…111000011100000
3212000101112012000
4103223233003200
51134014411112
652434004000
711116632414
oct2353570340
9760345160
10330232032
1115a453239
1292716600
1353554590
1431c02d44
151ded17dc
hex13aef0e0

330232032 has 96 divisors (see below), whose sum is σ = 1037302560. Its totient is φ = 101606400.

The previous prime is 330232031. The next prime is 330232039. The reversal of 330232032 is 230232033.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 330231996 and 330232014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330232031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3469 + ... + 25932.

It is an arithmetic number, because the mean of its divisors is an integer number (10805235).

Almost surely, 2330232032 is an apocalyptic number.

330232032 is a gapful number since it is divisible by the number (32) 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 330232032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518651280).

330232032 is an abundant number, since it is smaller than the sum of its proper divisors (707070528).

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

330232032 is a wasteful number, since it uses less digits than its factorization.

330232032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29433 (or 29419 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 330232032 is about 18172.2874729628. The cubic root of 330232032 is about 691.2042486236.

Adding to 330232032 its reverse (230232033), we get a palindrome (560464065).

Subtracting from 330232032 its reverse (230232033), we obtain a palindrome (99999999).

The spelling of 330232032 in words is "three hundred thirty million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 29401 58802 88203 117604 176406 235208 264609 352812 382213 470416 529218 705624 764426 793827 940832 1058436 1146639 1411248 1528852 1587654 2116872 2293278 2822496 3057704 3175308 3439917 4233744 4586556 6115408 6350616 6879834 8467488 9173112 10319751 12230816 12701232 13759668 18346224 20639502 25402464 27519336 36692448 41279004 55038672 82558008 110077344 165116016 330232032