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3421687320 = 233356747287
BaseRepresentation
bin1100101111110010…
…1100111000011000
322211110111201121000
43023330230320120
524001422443240
61323310345000
7150535601532
oct31374547030
98743451530
103421687320
1114a64a9367
127b5abb160
13426b7a26c
14246614852
151505dd430
hexcbf2ce18

3421687320 has 128 divisors (see below), whose sum is σ = 11576102400. Its totient is φ = 898812288.

The previous prime is 3421687303. The next prime is 3421687337. The reversal of 3421687320 is 237861243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3421687303) and next prime (3421687337).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48717 + ... + 96003.

It is an arithmetic number, because the mean of its divisors is an integer number (90438300).

Almost surely, 23421687320 is an apocalyptic number.

3421687320 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 3421687320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5788051200).

3421687320 is an abundant number, since it is smaller than the sum of its proper divisors (8154415080).

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

3421687320 is a wasteful number, since it uses less digits than its factorization.

3421687320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47374 (or 47364 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3421687320 is about 58495.1905715333. The cubic root of 3421687320 is about 1506.8849895945.

The spelling of 3421687320 in words is "three billion, four hundred twenty-one million, six hundred eighty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 67 72 90 108 120 134 135 180 201 216 268 270 335 360 402 536 540 603 670 804 1005 1080 1206 1340 1608 1809 2010 2412 2680 3015 3618 4020 4824 6030 7236 8040 9045 12060 14472 18090 24120 36180 47287 72360 94574 141861 189148 236435 283722 378296 425583 472870 567444 709305 851166 945740 1134888 1276749 1418610 1702332 1891480 2127915 2553498 2837220 3168229 3404664 4255830 5106996 5674440 6336458 6383745 8511660 9504687 10213992 12672916 12767490 15841145 17023320 19009374 25345832 25534980 28514061 31682290 38018748 47523435 51069960 57028122 63364580 76037496 85542183 95046870 114056244 126729160 142570305 171084366 190093740 228112488 285140610 342168732 380187480 427710915 570281220 684337464 855421830 1140562440 1710843660 3421687320