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9409343440 = 245789188791
BaseRepresentation
bin10001100001101011…
…10010111111010000
3220021202100011122111
420300311302333100
5123232242442230
64153402515104
7452113046110
oct106065627720
926252304574
109409343440
113a99368aa2
1219a7205a94
13b6c513653
1465392d040
153a10d892a
hex230d72fd0

9409343440 has 80 divisors (see below), whose sum is σ = 25283024640. Its totient is φ = 3189795840.

The previous prime is 9409343431. The next prime is 9409343453. The reversal of 9409343440 is 443439049.

9409343440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 9409343393 and 9409343402.

It is a congruent number.

It is an unprimeable number.

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, 44556 + ... + 144235.

It is an arithmetic number, because the mean of its divisors is an integer number (316037808).

Almost surely, 29409343440 is an apocalyptic number.

It is an amenable number.

9409343440 is an abundant number, since it is smaller than the sum of its proper divisors (15873681200).

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

9409343440 is a wasteful number, since it uses less digits than its factorization.

9409343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188900 (or 188894 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

The square root of 9409343440 is about 97001.7702931240. The cubic root of 9409343440 is about 2111.1533148185.

The spelling of 9409343440 in words is "nine billion, four hundred nine million, three hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 89 112 140 178 280 356 445 560 623 712 890 1246 1424 1780 2492 3115 3560 4984 6230 7120 9968 12460 24920 49840 188791 377582 755164 943955 1321537 1510328 1887910 2643074 3020656 3775820 5286148 6607685 7551640 10572296 13215370 15103280 16802399 21144592 26430740 33604798 52861480 67209596 84011995 105722960 117616793 134419192 168023990 235233586 268838384 336047980 470467172 588083965 672095960 940934344 1176167930 1344191920 1881868688 2352335860 4704671720 9409343440