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331370480 = 24571573769
BaseRepresentation
bin10011110000000…
…100111111110000
3212002112100211202
4103300010333300
51134312323410
652514230332
711132413460
oct2360047760
9762470752
10331370480
11160060601
1292b853a8
135386280c
143201bba0
151e158ca5
hex13c04ff0

331370480 has 80 divisors (see below), whose sum is σ = 886342080. Its totient is φ = 112859136.

The previous prime is 331370461. The next prime is 331370497. The reversal of 331370480 is 84073133.

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

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, 86036 + ... + 89804.

It is an arithmetic number, because the mean of its divisors is an integer number (11079276).

Almost surely, 2331370480 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 331370480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443171040).

331370480 is an abundant number, since it is smaller than the sum of its proper divisors (554971600).

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

331370480 is a wasteful number, since it uses less digits than its factorization.

331370480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3946 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 331370480 is about 18203.5842624468. The cubic root of 331370480 is about 691.9976277108.

The spelling of 331370480 in words is "three hundred thirty-one million, three hundred seventy thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 157 280 314 560 628 785 1099 1256 1570 2198 2512 3140 3769 4396 5495 6280 7538 8792 10990 12560 15076 17584 18845 21980 26383 30152 37690 43960 52766 60304 75380 87920 105532 131915 150760 211064 263830 301520 422128 527660 591733 1055320 1183466 2110640 2366932 2958665 4142131 4733864 5917330 8284262 9467728 11834660 16568524 20710655 23669320 33137048 41421310 47338640 66274096 82842620 165685240 331370480