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1992434340 = 223513172347139
BaseRepresentation
bin111011011000010…
…0010001010100100
312010212010011002110
41312300202022210
513040030344330
6525412441020
7100242261321
oct16660421244
95125104073
101992434340
1193274a456
12477319170
13259a28840
1414c889b48
15b9dbadb0
hex76c222a4

1992434340 has 384 divisors, whose sum is σ = 6827950080. Its totient is φ = 429023232.

The previous prime is 1992434321. The next prime is 1992434347. The reversal of 1992434340 is 434342991.

It is a super-2 number, since 2×19924343402 = 7939589198422471200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1992434347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14333991 + ... + 14334129.

It is an arithmetic number, because the mean of its divisors is an integer number (17781120).

Almost surely, 21992434340 is an apocalyptic number.

1992434340 is a gapful number since it is divisible by the number (10) 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 1992434340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3413975040).

1992434340 is an abundant number, since it is smaller than the sum of its proper divisors (4835515740).

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

1992434340 is a wasteful number, since it uses less digits than its factorization.

1992434340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 1992434340 is about 44636.6927538320. The cubic root of 1992434340 is about 1258.3303533790.

The spelling of 1992434340 in words is "one billion, nine hundred ninety-two million, four hundred thirty-four thousand, three hundred forty".