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3421335240 = 233353785619
BaseRepresentation
bin1100101111101101…
…0110111011001000
322211102211211122000
43023323112323020
524001330211430
61323255031000
7150532604211
oct31373267310
98742754560
103421335240
1114a6288894
127b596b460
13426a85c2b
14246562408
1515056de60
hexcbed6ec8

3421335240 has 128 divisors (see below), whose sum is σ = 11712816000. Its totient is φ = 887687424.

The previous prime is 3421335217. The next prime is 3421335283. The reversal of 3421335240 is 425331243.

3421335240 is a `hidden beast` number, since 3 + 4 + 2 + 133 + 524 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2850 + ... + 82769.

It is an arithmetic number, because the mean of its divisors is an integer number (91506375).

Almost surely, 23421335240 is an apocalyptic number.

3421335240 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 3421335240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5856408000).

3421335240 is an abundant number, since it is smaller than the sum of its proper divisors (8291480760).

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

3421335240 is a wasteful number, since it uses less digits than its factorization.

3421335240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85676 (or 85666 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3421335240 is about 58492.1810159272. The cubic root of 3421335240 is about 1506.8333033730.

Adding to 3421335240 its reverse (425331243), we get a palindrome (3846666483).

The spelling of 3421335240 in words is "three billion, four hundred twenty-one million, three hundred thirty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 37 40 45 54 60 72 74 90 108 111 120 135 148 180 185 216 222 270 296 333 360 370 444 540 555 666 740 888 999 1080 1110 1332 1480 1665 1998 2220 2664 3330 3996 4440 4995 6660 7992 9990 13320 19980 39960 85619 171238 256857 342476 428095 513714 684952 770571 856190 1027428 1284285 1541142 1712380 2054856 2311713 2568570 3082284 3167903 3424760 3852855 4623426 5137140 6164568 6335806 7705710 9246852 9503709 10274280 11558565 12671612 15411420 15839515 18493704 19007418 23117130 25343224 28511127 30822840 31679030 38014836 46234260 47518545 57022254 63358060 76029672 85533381 92468520 95037090 114044508 126716120 142555635 171066762 190074180 228089016 285111270 342133524 380148360 427666905 570222540 684267048 855333810 1140445080 1710667620 3421335240