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332067104 = 2519599257
BaseRepresentation
bin10011110010101…
…111000100100000
3212010211202102122
4103302233010200
51140002121404
652541203412
711141344445
oct2362570440
9763752378
10332067104
11160496a26
1293260568
1353a47915
143215d9cc
151e2453be
hex13caf120

332067104 has 48 divisors (see below), whose sum is σ = 699904800. Its totient is φ = 154612224.

The previous prime is 332067091. The next prime is 332067107. The reversal of 332067104 is 401760233.

It is a super-2 number, since 2×3320671042 = 220537123117893632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332067107) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 31244 + ... + 40500.

It is an arithmetic number, because the mean of its divisors is an integer number (14581350).

Almost surely, 2332067104 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 332067104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349952400).

332067104 is an abundant number, since it is smaller than the sum of its proper divisors (367837696).

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

332067104 is a wasteful number, since it uses less digits than its factorization.

332067104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9345 (or 9337 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 332067104 is about 18222.7084704772. The cubic root of 332067104 is about 692.4822059228.

The spelling of 332067104 in words is "three hundred thirty-two million, sixty-seven thousand, one hundred four".

Divisors: 1 2 4 8 16 19 32 38 59 76 118 152 236 304 472 608 944 1121 1888 2242 4484 8968 9257 17936 18514 35872 37028 74056 148112 175883 296224 351766 546163 703532 1092326 1407064 2184652 2814128 4369304 5628256 8738608 10377097 17477216 20754194 41508388 83016776 166033552 332067104