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331412480 = 2105721321
BaseRepresentation
bin10011110000001…
…111010000000000
3212002121111110022
4103300033100000
51134320144410
652515153012
711132650100
oct2360172000
9762544408
10331412480
1116008a113
1292ba5768
1353878979
143202d200
151e166455
hex13c0f400

331412480 has 132 divisors (see below), whose sum is σ = 925497828. Its totient is φ = 113541120.

The previous prime is 331412461. The next prime is 331412503. The reversal of 331412480 is 84214133.

It can be written as a sum of positive squares in 2 ways, for example, as 225240064 + 106172416 = 15008^2 + 10304^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250220 + ... + 251540.

Almost surely, 2331412480 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 331412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462748914).

331412480 is an abundant number, since it is smaller than the sum of its proper divisors (594085348).

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

331412480 is a wasteful number, since it uses less digits than its factorization.

331412480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 331412480 is about 18204.7378448579. The cubic root of 331412480 is about 692.0268625344.

The spelling of 331412480 in words is "three hundred thirty-one million, four hundred twelve thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 448 490 512 560 640 784 896 980 1024 1120 1280 1321 1568 1792 1960 2240 2560 2642 3136 3584 3920 4480 5120 5284 6272 6605 7168 7840 8960 9247 10568 12544 13210 15680 17920 18494 21136 25088 26420 31360 35840 36988 42272 46235 50176 52840 62720 64729 73976 84544 92470 105680 125440 129458 147952 169088 184940 211360 250880 258916 295904 323645 338176 369880 422720 517832 591808 647290 676352 739760 845440 1035664 1183616 1294580 1352704 1479520 1690880 2071328 2367232 2589160 2959040 3381760 4142656 4734464 5178320 5918080 6763520 8285312 9468928 10356640 11836160 16570624 20713280 23672320 33141248 41426560 47344640 66282496 82853120 165706240 331412480