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3941313024 = 29311892621
BaseRepresentation
bin1110101011101011…
…1010101000000000
3101011200021110001110
43222322322220000
531032434004044
61451032003320
7166445415345
oct35272725000
911150243043
103941313024
11174284a8a0
1291bb30540
134aa7142ac
142956387cc
151810316b9
hexeaebaa00

3941313024 has 160 divisors (see below), whose sum is σ = 11587561920. Its totient is φ = 1180467200.

The previous prime is 3941313011. The next prime is 3941313053. The reversal of 3941313024 is 4203131493.

It is a junction number, because it is equal to n+sod(n) for n = 3941312982 and 3941313000.

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, 1502434 + ... + 1505054.

It is an arithmetic number, because the mean of its divisors is an integer number (72422262).

Almost surely, 23941313024 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 3941313024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5793780960).

3941313024 is an abundant number, since it is smaller than the sum of its proper divisors (7646248896).

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

3941313024 is a wasteful number, since it uses less digits than its factorization.

3941313024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 2726 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 3941313024 is about 62779.8775404986. The cubic root of 3941313024 is about 1579.5994583679.

The spelling of 3941313024 in words is "three billion, nine hundred forty-one million, three hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 89 96 128 132 176 178 192 256 264 267 352 356 384 512 528 534 704 712 768 979 1056 1068 1408 1424 1536 1958 2112 2136 2621 2816 2848 2937 3916 4224 4272 5242 5632 5696 5874 7832 7863 8448 8544 10484 11392 11748 15664 15726 16896 17088 20968 22784 23496 28831 31328 31452 34176 41936 45568 46992 57662 62656 62904 68352 83872 86493 93984 115324 125312 125808 136704 167744 172986 187968 230648 233269 250624 251616 335488 345972 375936 461296 466538 501248 503232 670976 691944 699807 751872 922592 933076 1006464 1341952 1383888 1399614 1503744 1845184 1866152 2012928 2565959 2767776 2799228 3690368 3732304 4025856 5131918 5535552 5598456 7380736 7464608 7697877 10263836 11071104 11196912 14761472 14929216 15395754 20527672 22142208 22393824 29858432 30791508 41055344 44284416 44787648 59716864 61583016 82110688 89575296 119433728 123166032 164221376 179150592 246332064 328442752 358301184 492664128 656885504 985328256 1313771008 1970656512 3941313024