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332465320 = 235111993797
BaseRepresentation
bin10011110100010…
…000010010101000
3212011120222200101
4103310100102220
51140102342240
652553515144
711144623435
oct2364202250
9764528611
10332465320
11160739130
1293412ab4
1353b56c55
1432224b8c
151e2c339a
hex13d104a8

332465320 has 64 divisors (see below), whose sum is σ = 820368000. Its totient is φ = 120257280.

The previous prime is 332465279. The next prime is 332465327. The reversal of 332465320 is 23564233.

It is a super-2 number, since 2×3324653202 = 221066378005404800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332465327) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 85662 + ... + 89458.

It is an arithmetic number, because the mean of its divisors is an integer number (12818250).

Almost surely, 2332465320 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 332465320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410184000).

332465320 is an abundant number, since it is smaller than the sum of its proper divisors (487902680).

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

332465320 is a wasteful number, since it uses less digits than its factorization.

332465320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4018 (or 4014 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

The square root of 332465320 is about 18233.6315636792. The cubic root of 332465320 is about 692.7589043515.

It can be divided in two parts, 3324 and 65320, that added together give a square (68644 = 2622).

The spelling of 332465320 in words is "three hundred thirty-two million, four hundred sixty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 199 220 398 440 796 995 1592 1990 2189 3797 3980 4378 7594 7960 8756 10945 15188 17512 18985 21890 30376 37970 41767 43780 75940 83534 87560 151880 167068 208835 334136 417670 755603 835340 1511206 1670680 3022412 3778015 6044824 7556030 8311633 15112060 16623266 30224120 33246532 41558165 66493064 83116330 166232660 332465320