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332050144 = 2541337751
BaseRepresentation
bin10011110010101…
…010111011100000
3212010210220011111
4103302222323200
51140001101034
652540553104
711141244136
oct2362527340
9763726144
10332050144
11160485208
1293252794
1353a3cc9a
1432157756
151e240364
hex13caaee0

332050144 has 48 divisors (see below), whose sum is σ = 672549696. Its totient is φ = 161280000.

The previous prime is 332050139. The next prime is 332050151. The reversal of 332050144 is 441050233.

It is a super-2 number, since 2×3320501442 = 220514596260841472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 441769 + ... + 442519.

It is an arithmetic number, because the mean of its divisors is an integer number (14011452).

Almost surely, 2332050144 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 332050144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336274848).

332050144 is an abundant number, since it is smaller than the sum of its proper divisors (340499552).

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

332050144 is a wasteful number, since it uses less digits than its factorization.

332050144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 332050144 is about 18222.2431110991. The cubic root of 332050144 is about 692.4704164401.

The spelling of 332050144 in words is "three hundred thirty-two million, fifty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 41 82 164 328 337 656 674 751 1312 1348 1502 2696 3004 5392 6008 10784 12016 13817 24032 27634 30791 55268 61582 110536 123164 221072 246328 253087 442144 492656 506174 985312 1012348 2024696 4049392 8098784 10376567 20753134 41506268 83012536 166025072 332050144