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2243437344 = 25334163331
BaseRepresentation
bin1000010110111000…
…0010001100100000
312210100102102111000
42011232002030200
514043304443334
61010340352000
7106410621441
oct20556021440
95710372430
102243437344
11a513a8755
125273a5600
13299a2c925
14173d472c8
15d1e4c299
hex85b82320

2243437344 has 96 divisors (see below), whose sum is σ = 6703058880. Its totient is φ = 729561600.

The previous prime is 2243437337. The next prime is 2243437349. The reversal of 2243437344 is 4437343422.

2243437344 is a `hidden beast` number, since 2 + 243 + 4 + 373 + 44 = 666.

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

It is a super-2 number, since 2×22434373442 = 10066022232907548672, which contains 22 as substring.

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 = 2243437299 and 2243437308.

It is not an unprimeable number, because it can be changed into a prime (2243437349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3759 + ... + 67089.

It is an arithmetic number, because the mean of its divisors is an integer number (69823530).

Almost surely, 22243437344 is an apocalyptic number.

2243437344 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 2243437344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351529440).

2243437344 is an abundant number, since it is smaller than the sum of its proper divisors (4459621536).

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

2243437344 is a wasteful number, since it uses less digits than its factorization.

2243437344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63391 (or 63377 counting only the distinct ones).

The product of its digits is 193536, while the sum is 36.

The square root of 2243437344 is about 47364.9379182534. The cubic root of 2243437344 is about 1309.0954546559.

The spelling of 2243437344 in words is "two billion, two hundred forty-three million, four hundred thirty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 72 82 96 108 123 144 164 216 246 288 328 369 432 492 656 738 864 984 1107 1312 1476 1968 2214 2952 3936 4428 5904 8856 11808 17712 35424 63331 126662 189993 253324 379986 506648 569979 759972 1013296 1139958 1519944 1709937 2026592 2279916 2596571 3039888 3419874 4559832 5193142 6079776 6839748 7789713 9119664 10386284 13679496 15579426 18239328 20772568 23369139 27358992 31158852 41545136 46738278 54717984 62317704 70107417 83090272 93476556 124635408 140214834 186953112 249270816 280429668 373906224 560859336 747812448 1121718672 2243437344