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3095040 = 29351331
BaseRepresentation
bin1011110011101000000000
312211020121010
423303220000
51243020130
6150200520
735210304
oct13635000
95736533
103095040
111824393
121053140
138449b0
145a7d04
154120b0
hex2f3a00

3095040 has 160 divisors (see below), whose sum is σ = 10999296. Its totient is φ = 737280.

The previous prime is 3094991. The next prime is 3095063. The reversal of 3095040 is 405903.

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

It is a junction number, because it is equal to n+sod(n) for n = 3094998 and 3095016.

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, 99825 + ... + 99855.

Almost surely, 23095040 is an apocalyptic number.

3095040 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 3095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5499648).

3095040 is an abundant number, since it is smaller than the sum of its proper divisors (7904256).

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

3095040 is a wasteful number, since it uses less digits than its factorization.

3095040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 3095040 is about 1759.2725769476. The cubic root of 3095040 is about 145.7321667517.

The spelling of 3095040 in words is "three million, ninety-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 31 32 39 40 48 52 60 62 64 65 78 80 93 96 104 120 124 128 130 155 156 160 186 192 195 208 240 248 256 260 310 312 320 372 384 390 403 416 465 480 496 512 520 620 624 640 744 768 780 806 832 930 960 992 1040 1209 1240 1248 1280 1488 1536 1560 1612 1664 1860 1920 1984 2015 2080 2418 2480 2496 2560 2976 3120 3224 3328 3720 3840 3968 4030 4160 4836 4960 4992 5952 6045 6240 6448 6656 7440 7680 7936 8060 8320 9672 9920 9984 11904 12090 12480 12896 14880 15872 16120 16640 19344 19840 19968 23808 24180 24960 25792 29760 32240 33280 38688 39680 47616 48360 49920 51584 59520 64480 77376 79360 96720 99840 103168 119040 128960 154752 193440 206336 238080 257920 309504 386880 515840 619008 773760 1031680 1547520 3095040