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332028416 = 29679679
BaseRepresentation
bin10011110010100…
…101101000000000
3212010202210100202
4103302211220000
51134444402131
652540304332
711141123606
oct2362455000
9763683322
10332028416
1116046a955
12932420a8
1353a33125
143214d876
151e238bcb
hex13ca5a00

332028416 has 40 divisors (see below), whose sum is σ = 673379520. Its totient is φ = 163519488.

The previous prime is 332028407. The next prime is 332028427. The reversal of 332028416 is 614820233.

It is a super-2 number, since 2×3320284162 = 220485738062938112, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 29465 + ... + 39143.

It is an arithmetic number, because the mean of its divisors is an integer number (16834488).

Almost surely, 2332028416 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 332028416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336689760).

332028416 is an abundant number, since it is smaller than the sum of its proper divisors (341351104).

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

332028416 is an frugal number, since it uses more digits than its factorization.

332028416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9764 (or 9748 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 332028416 is about 18221.6469069072. The cubic root of 332028416 is about 692.4553119690.

Adding to 332028416 its reverse (614820233), we get a palindrome (946848649).

The spelling of 332028416 in words is "three hundred thirty-two million, twenty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 67 128 134 256 268 512 536 1072 2144 4288 8576 9679 17152 19358 34304 38716 77432 154864 309728 619456 648493 1238912 1296986 2477824 2593972 4955648 5187944 10375888 20751776 41503552 83007104 166014208 332028416