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332068128 = 25371134373
BaseRepresentation
bin10011110010101…
…111010100100000
3212010211210211120
4103302233110200
51140002140003
652541212240
711141350440
oct2362572440
9763753746
10332068128
11160497777
1293261080
1353a48222
1432160120
151e245853
hex13caf520

332068128 has 96 divisors (see below), whose sum is σ = 1005250176. Its totient is φ = 94015488.

The previous prime is 332068109. The next prime is 332068129. The reversal of 332068128 is 821860233.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3320681282 = 220538483266848768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332068129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73750 + ... + 78122.

It is an arithmetic number, because the mean of its divisors is an integer number (10471356).

Almost surely, 2332068128 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 332068128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502625088).

332068128 is an abundant number, since it is smaller than the sum of its proper divisors (673182048).

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

332068128 is a wasteful number, since it uses less digits than its factorization.

332068128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4506 (or 4498 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 332068128 is about 18222.7365672667. The cubic root of 332068128 is about 692.4829177278.

The spelling of 332068128 in words is "three hundred thirty-two million, sixty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 113 168 224 226 336 339 452 672 678 791 904 1356 1582 1808 2373 2712 3164 3616 4373 4746 5424 6328 8746 9492 10848 12656 13119 17492 18984 25312 26238 30611 34984 37968 52476 61222 69968 75936 91833 104952 122444 139936 183666 209904 244888 367332 419808 489776 494149 734664 979552 988298 1469328 1482447 1976596 2938656 2964894 3459043 3953192 5929788 6918086 7906384 10377129 11859576 13836172 15812768 20754258 23719152 27672344 41508516 47438304 55344688 83017032 110689376 166034064 332068128