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330514432 = 21420173
BaseRepresentation
bin10011101100110…
…100000000000000
3212000220212120021
4103230310000000
51134102430212
652444023224
711122216633
oct2354640000
9760825507
10330514432
1115a626426
1292831b14
1353622c91
1431c77c1a
151e03a307
hex13b34000

330514432 has 30 divisors (see below), whose sum is σ = 661041458. Its totient is φ = 165249024.

The previous prime is 330514403. The next prime is 330514447. The reversal of 330514432 is 234415033.

It can be written as a sum of positive squares in only one way, i.e., 330366976 + 147456 = 18176^2 + 384^2 .

It is a junction number, because it is equal to n+sod(n) for n = 330514397 and 330514406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6298 + ... + 26470.

Almost surely, 2330514432 is an apocalyptic number.

330514432 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 330514432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330520729).

330514432 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

330514432 is an frugal number, since it uses more digits than its factorization.

330514432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20201 (or 20175 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 330514432 is about 18180.0558855027. The cubic root of 330514432 is about 691.4012217074.

Adding to 330514432 its reverse (234415033), we get a palindrome (564929465).

The spelling of 330514432 in words is "three hundred thirty million, five hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 20173 40346 80692 161384 322768 645536 1291072 2582144 5164288 10328576 20657152 41314304 82628608 165257216 330514432