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3244122240 = 27351799391
BaseRepresentation
bin1100000101011101…
…0110000010000000
322101002101111002120
43001113112002000
523120443402430
61253524444240
7143251404222
oct30127260200
98332344076
103244122240
11141524a067
12766549680
133c9149778
1422abd2412
1513ec16610
hexc15d6080

3244122240 has 128 divisors (see below), whose sum is σ = 10949022720. Its totient is φ = 814202880.

The previous prime is 3244122221. The next prime is 3244122241. The reversal of 3244122240 is 422214423.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3244122240.

It is not an unprimeable number, because it can be changed into a prime (3244122241) by changing a digit.

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, 17056 + ... + 82335.

It is an arithmetic number, because the mean of its divisors is an integer number (85539240).

Almost surely, 23244122240 is an apocalyptic number.

3244122240 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 3244122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5474511360).

3244122240 is an abundant number, since it is smaller than the sum of its proper divisors (7704900480).

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

3244122240 is a wasteful number, since it uses less digits than its factorization.

3244122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99430 (or 99418 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 3244122240 is about 56957.1965602241. The cubic root of 3244122240 is about 1480.3545291405.

Adding to 3244122240 its reverse (422214423), we get a palindrome (3666336663).

The spelling of 3244122240 in words is "three billion, two hundred forty-four million, one hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 272 320 340 384 408 480 510 544 640 680 816 960 1020 1088 1360 1632 1920 2040 2176 2720 3264 4080 5440 6528 8160 10880 16320 32640 99391 198782 298173 397564 496955 596346 795128 993910 1192692 1490865 1590256 1689647 1987820 2385384 2981730 3180512 3379294 3975640 4770768 5068941 5963460 6361024 6758588 7951280 8448235 9541536 10137882 11926920 12722048 13517176 15902560 16896470 19083072 20275764 23853840 25344705 27034352 31805120 33792940 38166144 40551528 47707680 50689410 54068704 63610240 67585880 81103056 95415360 101378820 108137408 135171760 162206112 190830720 202757640 216274816 270343520 324412224 405515280 540687040 648824448 811030560 1081374080 1622061120 3244122240