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3407104320 = 263519186793
BaseRepresentation
bin1100101100010100…
…0100100101000000
322210110001211110220
43023011010211000
523434204314240
61322030023040
7150300623514
oct31305044500
98713054426
103407104320
1114992489a4
127b1047a80
13423b42679
142446da144
1514e1ac5d0
hexcb144940

3407104320 has 112 divisors (see below), whose sum is σ = 11386962240. Its totient is φ = 860737536.

The previous prime is 3407104313. The next prime is 3407104343. The reversal of 3407104320 is 234017043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 75157 + ... + 111636.

Almost surely, 23407104320 is an apocalyptic number.

3407104320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3407104320 is an abundant number, since it is smaller than the sum of its proper divisors (7979857920).

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

3407104320 is a wasteful number, since it uses less digits than its factorization.

3407104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186832 (or 186822 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 3407104320 is about 58370.4062004026. The cubic root of 3407104320 is about 1504.7411938205.

The spelling of 3407104320 in words is "three billion, four hundred seven million, one hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 152 160 190 192 228 240 285 304 320 380 456 480 570 608 760 912 960 1140 1216 1520 1824 2280 3040 3648 4560 6080 9120 18240 186793 373586 560379 747172 933965 1120758 1494344 1867930 2241516 2801895 2988688 3549067 3735860 4483032 5603790 5977376 7098134 7471720 8966064 10647201 11207580 11954752 14196268 14943440 17745335 17932128 21294402 22415160 28392536 29886880 35490670 35864256 42588804 44830320 53236005 56785072 59773760 70981340 85177608 89660640 106472010 113570144 141962680 170355216 179321280 212944020 227140288 283925360 340710432 425888040 567850720 681420864 851776080 1135701440 1703552160 3407104320