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3421851480 = 233454572311
BaseRepresentation
bin1100101111110101…
…0100111101011000
322211110211001210000
43023331110331120
524001443221410
61323314053000
7150540154245
oct31375247530
98743731700
103421851480
1114a6600733
127b5b7a160
13426c06bb8
142466585cc
15150621dc0
hexcbf54f58

3421851480 has 160 divisors (see below), whose sum is σ = 11531377440. Its totient is φ = 910103040.

The previous prime is 3421851449. The next prime is 3421851481. The reversal of 3421851480 is 841581243.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3421851481) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1479525 + ... + 1481835.

It is an arithmetic number, because the mean of its divisors is an integer number (72071109).

Almost surely, 23421851480 is an apocalyptic number.

3421851480 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 3421851480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5765688720).

3421851480 is an abundant number, since it is smaller than the sum of its proper divisors (8109525960).

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

3421851480 is a wasteful number, since it uses less digits than its factorization.

3421851480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 3421851480 is about 58496.5937469867. The cubic root of 3421851480 is about 1506.9090874796.

The spelling of 3421851480 in words is "three billion, four hundred twenty-one million, eight hundred fifty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 457 540 648 810 914 1080 1371 1620 1828 2285 2311 2742 3240 3656 4113 4570 4622 5484 6855 6933 8226 9140 9244 10968 11555 12339 13710 13866 16452 18280 18488 20565 20799 23110 24678 27420 27732 32904 34665 37017 41130 41598 46220 49356 54840 55464 61695 62397 69330 74034 82260 83196 92440 98712 103995 123390 124794 138660 148068 164520 166392 185085 187191 207990 246780 249588 277320 296136 311985 370170 374382 415980 493560 499176 623970 740340 748764 831960 935955 1056127 1247940 1480680 1497528 1871910 2112254 2495880 3168381 3743820 4224508 5280635 6336762 7487640 8449016 9505143 10561270 12673524 15841905 19010286 21122540 25347048 28515429 31683810 38020572 42245080 47525715 57030858 63367620 76041144 85546287 95051430 114061716 126735240 142577145 171092574 190102860 228123432 285154290 342185148 380205720 427731435 570308580 684370296 855462870 1140617160 1710925740 3421851480