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332332420 = 2257191011237
BaseRepresentation
bin10011110011101…
…111110110000100
3212011100020101011
4103303233312010
51140034114140
652551012004
711143531120
oct2363576604
9764306334
10332332420
111606582a2
129336a004
1353b0b604
14321cc580
151e298cea
hex13cefd84

332332420 has 96 divisors (see below), whose sum is σ = 848574720. Its totient is φ = 106790400.

The previous prime is 332332417. The next prime is 332332447. The reversal of 332332420 is 24233233.

It is a super-2 number, since 2×3323324202 = 220889674766112800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332332391 and 332332400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268042 + ... + 269278.

It is an arithmetic number, because the mean of its divisors is an integer number (8839320).

Almost surely, 2332332420 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 332332420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424287360).

332332420 is an abundant number, since it is smaller than the sum of its proper divisors (516242300).

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

332332420 is a wasteful number, since it uses less digits than its factorization.

332332420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 22.

The square root of 332332420 is about 18229.9868348828. The cubic root of 332332420 is about 692.6665840168. Note that the first 3 decimals are identical.

Adding to 332332420 its reverse (24233233), we get a palindrome (356565653).

It can be divided in two parts, 33233 and 2420, that added together give a palindrome (35653).

The spelling of 332332420 in words is "three hundred thirty-two million, three hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 101 133 140 190 202 266 380 404 505 532 665 707 1010 1237 1330 1414 1919 2020 2474 2660 2828 3535 3838 4948 6185 7070 7676 8659 9595 12370 13433 14140 17318 19190 23503 24740 26866 34636 38380 43295 47006 53732 67165 86590 94012 117515 124937 134330 164521 173180 235030 249874 268660 329042 470060 499748 624685 658084 822605 874559 1249370 1645210 1749118 2373803 2498740 3290420 3498236 4372795 4747606 8745590 9495212 11869015 16616621 17491180 23738030 33233242 47476060 66466484 83083105 166166210 332332420