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3124220640 = 253523282991
BaseRepresentation
bin1011101000110111…
…1101001011100000
322001201202212000120
42322031331023200
522344300030030
61234002520240
7140264302662
oct27215751340
98051685016
103124220640
1113635a5232
12732366080
133aa358588
14218d00532
15134430010
hexba37d2e0

3124220640 has 96 divisors (see below), whose sum is σ = 10269213696. Its totient is φ = 796899840.

The previous prime is 3124220587. The next prime is 3124220647. The reversal of 3124220640 is 460224213.

It is a tau number, because it is divible by the number of its divisors (96).

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 3124220640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3124220647) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 130456 + ... + 152535.

It is an arithmetic number, because the mean of its divisors is an integer number (106970976).

Almost surely, 23124220640 is an apocalyptic number.

3124220640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3124220640 is an abundant number, since it is smaller than the sum of its proper divisors (7144993056).

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

3124220640 is a wasteful number, since it uses less digits than its factorization.

3124220640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283032 (or 283024 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3124220640 is about 55894.7281950633. The cubic root of 3124220640 is about 1461.8873196698.

Adding to 3124220640 its reverse (460224213), we get a palindrome (3584444853).

The spelling of 3124220640 in words is "three billion, one hundred twenty-four million, two hundred twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1380 1840 2208 2760 3680 5520 11040 282991 565982 848973 1131964 1414955 1697946 2263928 2829910 3395892 4244865 4527856 5659820 6508793 6791784 8489730 9055712 11319640 13017586 13583568 16979460 19526379 22639280 26035172 27167136 32543965 33958920 39052758 45278560 52070344 65087930 67917840 78105516 97631895 104140688 130175860 135835680 156211032 195263790 208281376 260351720 312422064 390527580 520703440 624844128 781055160 1041406880 1562110320 3124220640