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3312042440 = 235729894583
BaseRepresentation
bin1100010101101001…
…1100000111001000
322112211012012002112
43011122130013020
523240340324230
61304352321452
7145034616260
oct30532340710
98484165075
103312042440
11144a61a563
12785243288
1340a23a735
14235c327a0
15145b80d95
hexc569c1c8

3312042440 has 128 divisors (see below), whose sum is σ = 8911296000. Its totient is φ = 1083844608.

The previous prime is 3312042431. The next prime is 3312042463. The reversal of 3312042440 is 442402133.

It is a super-2 number, since 2×33120424402 = 21939250248722307200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 720389 + ... + 724971.

It is an arithmetic number, because the mean of its divisors is an integer number (69619500).

Almost surely, 23312042440 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 3312042440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4455648000).

3312042440 is an abundant number, since it is smaller than the sum of its proper divisors (5599253560).

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

3312042440 is a wasteful number, since it uses less digits than its factorization.

3312042440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4719 (or 4715 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 3312042440 is about 57550.3470015603. The cubic root of 3312042440 is about 1490.6143496053.

Adding to 3312042440 its reverse (442402133), we get a palindrome (3754444573).

The spelling of 3312042440 in words is "three billion, three hundred twelve million, forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 89 116 140 145 178 203 232 280 290 356 406 445 580 623 712 812 890 1015 1160 1246 1624 1780 2030 2492 2581 3115 3560 4060 4583 4984 5162 6230 8120 9166 10324 12460 12905 18067 18332 20648 22915 24920 25810 32081 36134 36664 45830 51620 64162 72268 90335 91660 103240 128324 132907 144536 160405 180670 183320 256648 265814 320810 361340 407887 531628 641620 664535 722680 815774 930349 1063256 1283240 1329070 1631548 1860698 2039435 2658140 2855209 3263096 3721396 4078870 4651745 5316280 5710418 7442792 8157740 9303490 11420836 11828723 14276045 16315480 18606980 22841672 23657446 28552090 37213960 47314892 57104180 59143615 82801061 94629784 114208360 118287230 165602122 236574460 331204244 414005305 473148920 662408488 828010610 1656021220 3312042440