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331264696 = 23721979563
BaseRepresentation
bin10011101111101…
…011001010111000
3212002022222201211
4103233223022320
51134300432241
652512052504
711131463200
oct2357531270
9762288654
10331264696
1115aa99084
1292b34134
1353826619
1431dd1400
151e137781
hex13beb2b8

331264696 has 96 divisors (see below), whose sum is σ = 771552000. Its totient is φ = 132560064.

The previous prime is 331264691. The next prime is 331264711. The reversal of 331264696 is 696462133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331264691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 588111 + ... + 588673.

It is an arithmetic number, because the mean of its divisors is an integer number (8037000).

Almost surely, 2331264696 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 331264696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385776000).

331264696 is an abundant number, since it is smaller than the sum of its proper divisors (440287304).

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

331264696 is a wasteful number, since it uses less digits than its factorization.

331264696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 670 counting only the distinct ones).

The product of its digits is 139968, while the sum is 40.

The square root of 331264696 is about 18200.6784488931. The cubic root of 331264696 is about 691.9239839874.

The spelling of 331264696 in words is "three hundred thirty-one million, two hundred sixty-four thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 79 98 133 152 158 196 266 316 392 532 553 563 632 931 1064 1106 1126 1501 1862 2212 2252 3002 3724 3871 3941 4424 4504 6004 7448 7742 7882 10507 10697 12008 15484 15764 21014 21394 27587 30968 31528 42028 42788 44477 55174 73549 74879 84056 85576 88954 110348 147098 149758 177908 220696 294196 299516 311339 355816 524153 588392 599032 622678 845063 1048306 1245356 1690126 2096612 2179373 2490712 3380252 4193224 4358746 5915441 6760504 8717492 11830882 17434984 23661764 41408087 47323528 82816174 165632348 331264696