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2390011344 = 243276533631
BaseRepresentation
bin1000111001110100…
…1010110111010000
320011120020011012200
42032131022313100
514343320330334
61033054123200
7113140522050
oct21635126720
96146204180
102390011344
11101710a996
125684b0500
132c11cc2c6
141895bd560
15dec51799
hex8e74add0

2390011344 has 120 divisors (see below), whose sum is σ = 7658057472. Its totient is φ = 681626880.

The previous prime is 2390011343. The next prime is 2390011357. The reversal of 2390011344 is 4431100932.

2390011344 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2390011343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 656409 + ... + 660039.

Almost surely, 22390011344 is an apocalyptic number.

2390011344 is a gapful number since it is divisible by the number (24) 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 2390011344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3829028736).

2390011344 is an abundant number, since it is smaller than the sum of its proper divisors (5268046128).

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

2390011344 is a wasteful number, since it uses less digits than its factorization.

2390011344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4305 (or 4296 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2390011344 is about 48887.7422673619. The cubic root of 2390011344 is about 1337.0058908422.

The spelling of 2390011344 in words is "two billion, three hundred ninety million, eleven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 653 1008 1306 1959 2612 3631 3918 4571 5224 5877 7262 7836 9142 10448 10893 11754 13713 14524 15672 18284 21786 23508 25417 27426 29048 31344 32679 36568 41139 43572 47016 50834 54852 58096 65358 73136 76251 82278 87144 94032 101668 109704 130716 152502 164556 174288 203336 219408 228753 261432 305004 329112 406672 457506 522864 610008 658224 915012 1220016 1830024 2371043 3660048 4742086 7113129 9484172 14226258 16597301 18968344 21339387 28452516 33194602 37936688 42678774 49791903 56905032 66389204 85357548 99583806 113810064 132778408 149375709 170715096 199167612 265556816 298751418 341430192 398335224 597502836 796670448 1195005672 2390011344