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330642432 = 2103311959
BaseRepresentation
bin10011101101010…
…011010000000000
3212001011101011000
4103231103100000
51134121024212
652450452000
711123262051
oct2355232000
9761141130
10330642432
1115a70360a
1292894000
1353669313
1431cac728
151e0631dc
hex13b53400

330642432 has 88 divisors (see below), whose sum is σ = 979284800. Its totient is φ = 110204928.

The previous prime is 330642421. The next prime is 330642467. The reversal of 330642432 is 234246033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 330642396 and 330642405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21669 + ... + 33627.

Almost surely, 2330642432 is an apocalyptic number.

330642432 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 330642432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489642400).

330642432 is an abundant number, since it is smaller than the sum of its proper divisors (648642368).

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

330642432 is a wasteful number, since it uses less digits than its factorization.

330642432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11988 (or 11964 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 330642432 is about 18183.5758859472. The cubic root of 330642432 is about 691.4904643403.

Adding to 330642432 its reverse (234246033), we get a palindrome (564888465).

The spelling of 330642432 in words is "three hundred thirty million, six hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2304 3072 3456 4608 6912 9216 11959 13824 23918 27648 35877 47836 71754 95672 107631 143508 191344 215262 287016 322893 382688 430524 574032 645786 765376 861048 1148064 1291572 1530752 1722096 2296128 2583144 3061504 3444192 4592256 5166288 6123008 6888384 9184512 10332576 12246016 13776768 18369024 20665152 27553536 36738048 41330304 55107072 82660608 110214144 165321216 330642432