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331002320 = 245112271657
BaseRepresentation
bin10011101110101…
…011000111010000
3212001211122211012
4103232223013100
51134214033240
652502310052
711126321225
oct2356530720
9761748735
10331002320
1115a929a40
1292a28328
135376407c
1431d6394c
151e0d4b65
hex13bab1d0

331002320 has 80 divisors (see below), whose sum is σ = 843749568. Its totient is φ = 119761920.

The previous prime is 331002313. The next prime is 331002349. The reversal of 331002320 is 23200133.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 331002295 and 331002304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198932 + ... + 200588.

Almost surely, 2331002320 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 331002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421874784).

331002320 is an abundant number, since it is smaller than the sum of its proper divisors (512747248).

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

331002320 is a wasteful number, since it uses less digits than its factorization.

331002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 331002320 is about 18193.4691579149. The cubic root of 331002320 is about 691.7412578062.

Adding to 331002320 its reverse (23200133), we get a palindrome (354202453).

The spelling of 331002320 in words is "three hundred thirty-one million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 227 440 454 880 908 1135 1657 1816 2270 2497 3314 3632 4540 4994 6628 8285 9080 9988 12485 13256 16570 18160 18227 19976 24970 26512 33140 36454 39952 49940 66280 72908 91135 99880 132560 145816 182270 199760 291632 364540 376139 729080 752278 1458160 1504556 1880695 3009112 3761390 4137529 6018224 7522780 8275058 15045560 16550116 20687645 30091120 33100232 41375290 66200464 82750580 165501160 331002320