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331320640 = 2657211701
BaseRepresentation
bin10011101111111…
…000110101000000
3212002102211110211
4103233320311000
51134304230030
652513203504
711132115250
oct2357706500
9762384424
10331320640
11160027112
1292b60594
1353845c21
1432007960
151e14912a
hex13bf8d40

331320640 has 112 divisors (see below), whose sum is σ = 907231104. Its totient is φ = 112896000.

The previous prime is 331320629. The next prime is 331320643. The reversal of 331320640 is 46023133.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331320643) 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, 472290 + ... + 472990.

Almost surely, 2331320640 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 331320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453615552).

331320640 is an abundant number, since it is smaller than the sum of its proper divisors (575910464).

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

331320640 is a wasteful number, since it uses less digits than its factorization.

331320640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 331320640 is about 18202.2152497986. The cubic root of 331320640 is about 691.9629325150.

Adding to 331320640 its reverse (46023133), we get a palindrome (377343773).

The spelling of 331320640 in words is "three hundred thirty-one million, three hundred twenty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 211 224 280 320 422 448 560 701 844 1055 1120 1402 1477 1688 2110 2240 2804 2954 3376 3505 4220 4907 5608 5908 6752 7010 7385 8440 9814 11216 11816 13504 14020 14770 16880 19628 22432 23632 24535 28040 29540 33760 39256 44864 47264 49070 56080 59080 67520 78512 94528 98140 112160 118160 147911 157024 196280 224320 236320 295822 314048 392560 472640 591644 739555 785120 1035377 1183288 1479110 1570240 2070754 2366576 2958220 4141508 4733152 5176885 5916440 8283016 9466304 10353770 11832880 16566032 20707540 23665760 33132064 41415080 47331520 66264128 82830160 165660320 331320640