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641450340 = 223451672371
BaseRepresentation
bin100110001110111…
…100000101100100
31122201000001110000
4212032330011210
52303202402330
6143352301300
721616144416
oct4616740544
91581001400
10641450340
112aa09a153
1215a9a1830
13a2b7c61b
14612969b6
153b4a9560
hex263bc164

641450340 has 120 divisors (see below), whose sum is σ = 2025156672. Its totient is φ = 169957440.

The previous prime is 641450291. The next prime is 641450353. The reversal of 641450340 is 43054146.

It is a super-2 number, since 2×6414503402 = 822917077372231200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 269355 + ... + 271725.

Almost surely, 2641450340 is an apocalyptic number.

641450340 is a gapful number since it is divisible by the number (60) 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 641450340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012578336).

641450340 is an abundant number, since it is smaller than the sum of its proper divisors (1383706332).

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

641450340 is a wasteful number, since it uses less digits than its factorization.

641450340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2559 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 641450340 is about 25326.8699210937. The cubic root of 641450340 is about 862.4243563150.

The spelling of 641450340 in words is "six hundred forty-one million, four hundred fifty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 167 180 270 324 334 405 501 540 668 810 835 1002 1503 1620 1670 2004 2371 2505 3006 3340 4509 4742 5010 6012 7113 7515 9018 9484 10020 11855 13527 14226 15030 18036 21339 22545 23710 27054 28452 30060 35565 42678 45090 47420 54108 64017 67635 71130 85356 90180 106695 128034 135270 142260 192051 213390 256068 270540 320085 384102 395957 426780 640170 768204 791914 960255 1187871 1280340 1583828 1920510 1979785 2375742 3563613 3841020 3959570 4751484 5939355 7127226 7919140 10690839 11878710 14254452 17818065 21381678 23757420 32072517 35636130 42763356 53454195 64145034 71272260 106908390 128290068 160362585 213816780 320725170 641450340