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2324934300 = 22352132325919
BaseRepresentation
bin1000101010010011…
…1010111010011100
320000000202220021210
42022210322322130
514230140344200
61022411224420
7111420421053
oct21244727234
96000686253
102324934300
11a93401607
1254a748110
132b0895490
14180abd39a
15d9199650
hex8a93ae9c

2324934300 has 144 divisors (see below), whose sum is σ = 7559516160. Its totient is φ = 547388160.

The previous prime is 2324934299. The next prime is 2324934307. The reversal of 2324934300 is 34394232.

2324934300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2324934307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76741 + ... + 102659.

It is an arithmetic number, because the mean of its divisors is an integer number (52496640).

Almost surely, 22324934300 is an apocalyptic number.

2324934300 is a gapful number since it is divisible by the number (20) 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 2324934300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3779758080).

2324934300 is an abundant number, since it is smaller than the sum of its proper divisors (5234581860).

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

2324934300 is a wasteful number, since it uses less digits than its factorization.

2324934300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25972 (or 25965 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 2324934300 is about 48217.5725228884. The cubic root of 2324934300 is about 1324.7590495763.

The spelling of 2324934300 in words is "two billion, three hundred twenty-four million, nine hundred thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 23 25 26 30 39 46 50 52 60 65 69 75 78 92 100 115 130 138 150 156 195 230 260 276 299 300 325 345 390 460 575 598 650 690 780 897 975 1150 1196 1300 1380 1495 1725 1794 1950 2300 2990 3450 3588 3900 4485 5980 6900 7475 8970 14950 17940 22425 25919 29900 44850 51838 77757 89700 103676 129595 155514 259190 311028 336947 388785 518380 596137 647975 673894 777570 1010841 1192274 1295950 1347788 1555140 1684735 1788411 1943925 2021682 2384548 2591900 2980685 3369470 3576822 3887850 4043364 5054205 5961370 6738940 7153644 7749781 7775700 8423675 8942055 10108410 11922740 14903425 15499562 16847350 17884110 20216820 23249343 25271025 29806850 30999124 33694700 35768220 38748905 44710275 46498686 50542050 59613700 77497810 89420550 92997372 101084100 116246715 154995620 178841100 193744525 232493430 387489050 464986860 581233575 774978100 1162467150 2324934300