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331324380 = 223256783331
BaseRepresentation
bin10011101111111…
…001101111011100
3212002110000121100
4103233321233130
51134304340010
652513233100
711132132202
oct2357715734
9762400540
10331324380
11160029a02
1292b62790
135384783a
1432009072
151e14a2c0
hex13bf9bdc

331324380 has 144 divisors (see below), whose sum is σ = 1035425664. Its totient is φ = 85726080.

The previous prime is 331324349. The next prime is 331324393. The reversal of 331324380 is 83423133.

331324380 is a `hidden beast` number, since 331 + 324 + 3 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1000815 + ... + 1001145.

It is an arithmetic number, because the mean of its divisors is an integer number (7190456).

Almost surely, 2331324380 is an apocalyptic number.

331324380 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331324380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517712832).

331324380 is an abundant number, since it is smaller than the sum of its proper divisors (704101284).

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

331324380 is a wasteful number, since it uses less digits than its factorization.

331324380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 331324380 is about 18202.3179842568. The cubic root of 331324380 is about 691.9655361677.

The spelling of 331324380 in words is "three hundred thirty-one million, three hundred twenty-four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 83 90 134 166 180 201 249 268 331 332 335 402 415 498 603 662 670 747 804 830 993 996 1005 1206 1245 1324 1340 1494 1655 1660 1986 2010 2412 2490 2979 2988 3015 3310 3735 3972 4020 4965 4980 5561 5958 6030 6620 7470 9930 11122 11916 12060 14895 14940 16683 19860 22177 22244 27473 27805 29790 33366 44354 50049 54946 55610 59580 66531 66732 82419 83415 88708 100098 109892 110885 111220 133062 137365 164838 166830 199593 200196 221770 247257 250245 266124 274730 329676 332655 333660 399186 412095 443540 494514 500490 549460 665310 798372 824190 989028 997965 1000980 1236285 1330620 1648380 1840691 1995930 2472570 3681382 3991860 4945140 5522073 7362764 9203455 11044146 16566219 18406910 22088292 27610365 33132438 36813820 55220730 66264876 82831095 110441460 165662190 331324380