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3240771840 = 28325281317
BaseRepresentation
bin1100000100101010…
…0100000100000000
322100212002021012200
43001022210010000
523114114144330
61253324553200
7143211051255
oct30112440400
98325067180
103240771840
111413370939
127653b2800
133c8545797
1422a59d42c
1513e7a3a60
hexc12a4100

3240771840 has 108 divisors (see below), whose sum is σ = 11212772844. Its totient is φ = 864202752.

The previous prime is 3240771839. The next prime is 3240771857. The reversal of 3240771840 is 481770423.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1676411136 + 1564360704 = 40944^2 + 39552^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 3240771795 and 3240771804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129139 + ... + 152178.

Almost surely, 23240771840 is an apocalyptic number.

3240771840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3240771840 is an abundant number, since it is smaller than the sum of its proper divisors (7972001004).

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

3240771840 is a wasteful number, since it uses less digits than its factorization.

3240771840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281344 (or 281327 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 3240771840 is about 56927.7774026002. Note that the first 3 decimals coincide. The cubic root of 3240771840 is about 1479.8447365732.

The spelling of 3240771840 in words is "three billion, two hundred forty million, seven hundred seventy-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 281317 562634 843951 1125268 1406585 1687902 2250536 2531853 2813170 3375804 4219755 4501072 5063706 5626340 6751608 8439510 9002144 10127412 11252680 12659265 13503216 16879020 18004288 20254824 22505360 25318530 27006432 33758040 36008576 40509648 45010720 50637060 54012864 67516080 72017152 81019296 90021440 101274120 108025728 135032160 162038592 180042880 202548240 216051456 270064320 324077184 360085760 405096480 540128640 648154368 810192960 1080257280 1620385920 3240771840