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318212480 = 2754167181
BaseRepresentation
bin10010111101111…
…000100110000000
3211011202212110102
4102331320212000
51122430244410
651324221532
710612522115
oct2275704600
9734685412
10318212480
11153693823
128a69a8a8
1350c06711
143039490c
151ce0a2a5
hex12f78980

318212480 has 128 divisors (see below), whose sum is σ = 795281760. Its totient is φ = 121651200.

The previous prime is 318212473. The next prime is 318212491. The reversal of 318212480 is 84212813.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1757990 + ... + 1758170.

Almost surely, 2318212480 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 318212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397640880).

318212480 is an abundant number, since it is smaller than the sum of its proper divisors (477069280).

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

318212480 is a wasteful number, since it uses less digits than its factorization.

318212480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 318212480 is about 17838.5111486357. The cubic root of 318212480 is about 682.7144097740.

The spelling of 318212480 in words is "three hundred eighteen million, two hundred twelve thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 67 80 82 128 134 160 164 181 205 268 320 328 335 362 410 536 640 656 670 724 820 905 1072 1312 1340 1448 1640 1810 2144 2624 2680 2747 2896 3280 3620 4288 5248 5360 5494 5792 6560 7240 7421 8576 10720 10988 11584 12127 13120 13735 14480 14842 21440 21976 23168 24254 26240 27470 28960 29684 37105 42880 43952 48508 54940 57920 59368 60635 74210 87904 97016 109880 115840 118736 121270 148420 175808 194032 219760 237472 242540 296840 351616 388064 439520 474944 485080 497207 593680 776128 879040 949888 970160 994414 1187360 1552256 1758080 1940320 1988828 2374720 2486035 3880640 3977656 4749440 4972070 7761280 7955312 9944140 15910624 19888280 31821248 39776560 63642496 79553120 159106240 318212480