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3140013360 = 2435112351713
BaseRepresentation
bin1011101100101000…
…1100110100110000
322002211111012120010
42323022030310300
522412320411420
61235325214520
7140545446621
oct27312146460
98084435503
103140013360
111371501570
12737701440
133b06c7993
1421b051a48
151359ee4e0
hexbb28cd30

3140013360 has 160 divisors (see below), whose sum is σ = 11080862208. Its totient is φ = 728104960.

The previous prime is 3140013347. The next prime is 3140013391. The reversal of 3140013360 is 633100413.

3140013360 = T131 + T132 + ... + T2660.

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, 34864 + ... + 86576.

Almost surely, 23140013360 is an apocalyptic number.

3140013360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3140013360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5540431104).

3140013360 is an abundant number, since it is smaller than the sum of its proper divisors (7940848848).

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

3140013360 is a wasteful number, since it uses less digits than its factorization.

3140013360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51763 (or 51757 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 3140013360 is about 56035.8221140727. The cubic root of 3140013360 is about 1464.3464273198.

Adding to 3140013360 its reverse (633100413), we get a palindrome (3773113773).

The spelling of 3140013360 in words is "three billion, one hundred forty million, thirteen thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 23 24 30 33 40 44 46 48 55 60 66 69 80 88 92 110 115 120 132 138 165 176 184 220 230 240 253 264 276 330 345 368 440 460 506 528 552 660 690 759 880 920 1012 1104 1265 1320 1380 1518 1840 2024 2530 2640 2760 3036 3795 4048 5060 5520 6072 7590 10120 12144 15180 20240 30360 51713 60720 103426 155139 206852 258565 310278 413704 517130 568843 620556 775695 827408 1034260 1137686 1189399 1241112 1551390 1706529 2068520 2275372 2378798 2482224 2844215 3102780 3413058 3568197 4137040 4550744 4757596 5688430 5946995 6205560 6826116 7136394 8532645 9101488 9515192 11376860 11893990 12411120 13083389 13652232 14272788 17065290 17840985 19030384 22753720 23787980 26166778 27304464 28545576 34130580 35681970 39250167 45507440 47575960 52333556 57091152 65416945 68261160 71363940 78500334 95151920 104667112 130833890 136522320 142727880 157000668 196250835 209334224 261667780 285455760 314001336 392501670 523335560 628002672 785003340 1046671120 1570006680 3140013360