Search a number
-
+
43023297240 = 233257113101127
BaseRepresentation
bin101000000100011000…
…110110101011011000
311010001100220221122100
4220010120312223120
51201102431002430
631433054323400
73052104664320
oct500430665330
9133040827570
1043023297240
1117278591000
1284084b9560
134098532c41
142121d1a280
1511bc12d960
hexa04636ad8

43023297240 has 768 divisors, whose sum is σ = 178906890240. Its totient is φ = 8781696000.

The previous prime is 43023297227. The next prime is 43023297253. The reversal of 43023297240 is 4279232034.

It is a happy number.

43023297240 is a `hidden beast` number, since 4 + 302 + 329 + 7 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (43023297227) and next prime (43023297253).

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 = 43023297195 and 43023297204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 338766057 + ... + 338766183.

It is an arithmetic number, because the mean of its divisors is an integer number (232951680).

Almost surely, 243023297240 is an apocalyptic number.

43023297240 is a gapful number since it is divisible by the number (40) 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 43023297240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89453445120).

43023297240 is an abundant number, since it is smaller than the sum of its proper divisors (135883593000).

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

43023297240 is a wasteful number, since it uses less digits than its factorization.

43023297240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 43023297240 in words is "forty-three billion, twenty-three million, two hundred ninety-seven thousand, two hundred forty".