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3394641360 = 2435113141479
BaseRepresentation
bin1100101001010110…
…0001110111010000
322202120121122111210
43022111201313100
523423012010420
61320502540120
7150056655405
oct31225416720
98676548453
103394641360
111492206330
127a8a37640
1342139aa36
14242bb42ac
1514d0499e0
hexca561dd0

3394641360 has 160 divisors (see below), whose sum is σ = 11850670080. Its totient is φ = 796377600.

The previous prime is 3394641359. The next prime is 3394641389. The reversal of 3394641360 is 631464933.

It is a congruent number.

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, 61101 + ... + 102579.

It is an arithmetic number, because the mean of its divisors is an integer number (74066688).

Almost surely, 23394641360 is an apocalyptic number.

3394641360 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 3394641360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5925335040).

3394641360 is an abundant number, since it is smaller than the sum of its proper divisors (8456028720).

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

3394641360 is a wasteful number, since it uses less digits than its factorization.

3394641360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41537 (or 41531 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 39.

The square root of 3394641360 is about 58263.5508701624. The cubic root of 3394641360 is about 1502.9042045462.

The spelling of 3394641360 in words is "three billion, three hundred ninety-four million, six hundred forty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 31 33 40 44 48 55 60 62 66 80 88 93 110 120 124 132 155 165 176 186 220 240 248 264 310 330 341 372 440 465 496 528 620 660 682 744 880 930 1023 1240 1320 1364 1488 1705 1860 2046 2480 2640 2728 3410 3720 4092 5115 5456 6820 7440 8184 10230 13640 16368 20460 27280 40920 41479 81840 82958 124437 165916 207395 248874 331832 414790 456269 497748 622185 663664 829580 912538 995496 1244370 1285849 1368807 1659160 1825076 1990992 2281345 2488740 2571698 2737614 3318320 3650152 3857547 4562690 4977480 5143396 5475228 6429245 6844035 7300304 7715094 9125380 9954960 10286792 10950456 12858490 13688070 14144339 15430188 18250760 19287735 20573584 21900912 25716980 27376140 28288678 30860376 36501520 38575470 42433017 51433960 54752280 56577356 61720752 70721695 77150940 84866034 102867920 109504560 113154712 141443390 154301880 169732068 212165085 226309424 282886780 308603760 339464136 424330170 565773560 678928272 848660340 1131547120 1697320680 3394641360