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332051616 = 253313173747
BaseRepresentation
bin10011110010101…
…011010010100000
3212010210222012000
4103302223102200
51140001122431
652541004000
711141251341
oct2362532240
9763728160
10332051616
11160486326
1293253600
1353a40860
14321580c8
151e2409e6
hex13cab4a0

332051616 has 384 divisors, whose sum is σ = 1158312960. Its totient is φ = 91570176.

The previous prime is 332051597. The next prime is 332051627. The reversal of 332051616 is 616150233.

It is a super-2 number, since 2×3320516162 = 220516551376422912, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 332051616.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7064905 + ... + 7064951.

It is an arithmetic number, because the mean of its divisors is an integer number (3016440).

Almost surely, 2332051616 is an apocalyptic number.

332051616 is a gapful number since it is divisible by the number (36) 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 332051616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579156480).

332051616 is an abundant number, since it is smaller than the sum of its proper divisors (826261344).

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

332051616 is a wasteful number, since it uses less digits than its factorization.

332051616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 332051616 is about 18222.2835012520. The cubic root of 332051616 is about 692.4714396941.

The spelling of 332051616 in words is "three hundred thirty-two million, fifty-one thousand, six hundred sixteen".