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994388480 = 2951773313
BaseRepresentation
bin111011010001010…
…010101000000000
32120022010011112222
4323101102220000
54014030412410
6242401110212
733433106531
oct7321225000
92508104488
10994388480
11470340868
12239028368
1312b023c67
14960ca688
155c473955
hex3b452a00

994388480 has 160 divisors (see below), whose sum is σ = 2567206224. Its totient is φ = 368050176.

The previous prime is 994388467. The next prime is 994388513. The reversal of 994388480 is 84883499.

It can be written as a sum of positive squares in 8 ways, for example, as 265820416 + 728568064 = 16304^2 + 26992^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3176804 + ... + 3177116.

Almost surely, 2994388480 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 994388480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283603112).

994388480 is an abundant number, since it is smaller than the sum of its proper divisors (1572817744).

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

994388480 is a wasteful number, since it uses less digits than its factorization.

994388480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 53.

The square root of 994388480 is about 31533.9258577171. The cubic root of 994388480 is about 998.1259835896.

The spelling of 994388480 in words is "nine hundred ninety-four million, three hundred eighty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 73 80 85 128 136 146 160 170 256 272 292 313 320 340 365 512 544 584 626 640 680 730 1088 1168 1241 1252 1280 1360 1460 1565 2176 2336 2482 2504 2560 2720 2920 3130 4352 4672 4964 5008 5321 5440 5840 6205 6260 8704 9344 9928 10016 10642 10880 11680 12410 12520 18688 19856 20032 21284 21760 22849 23360 24820 25040 26605 37376 39712 40064 42568 43520 45698 46720 49640 50080 53210 79424 80128 85136 91396 93440 99280 100160 106420 114245 158848 160256 170272 182792 186880 198560 200320 212840 228490 317696 340544 365584 388433 397120 400640 425680 456980 635392 681088 731168 776866 794240 801280 851360 913960 1362176 1462336 1553732 1588480 1702720 1827920 1942165 2724352 2924672 3107464 3176960 3405440 3655840 3884330 5849344 6214928 6810880 7311680 7768660 11698688 12429856 13621760 14623360 15537320 24859712 29246720 31074640 49719424 58493440 62149280 99438848 124298560 198877696 248597120 497194240 994388480