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3102343440 = 2435729371721
BaseRepresentation
bin1011100011101010…
…0000000100010000
322000012121101010220
42320322200010100
522323144442230
61231501553040
7136610325030
oct27072400420
98005541126
103102343440
1113522125a9
12726b75780
133a59688a1
142160478c0
1513255cd10
hexb8ea0110

3102343440 has 320 divisors, whose sum is σ = 11684252160. Its totient is φ = 665763840.

The previous prime is 3102343423. The next prime is 3102343451. The reversal of 3102343440 is 443432013.

It is a super-2 number, since 2×31023434402 = 19249069639422067200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3102343440.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1801780 + ... + 1803500.

It is an arithmetic number, because the mean of its divisors is an integer number (36513288).

Almost surely, 23102343440 is an apocalyptic number.

3102343440 is a gapful number since it is divisible by the number (30) 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 3102343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5842126080).

3102343440 is an abundant number, since it is smaller than the sum of its proper divisors (8581908720).

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

3102343440 is a wasteful number, since it uses less digits than its factorization.

3102343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3102343440 is about 55698.6843650728. The cubic root of 3102343440 is about 1458.4670593309.

Adding to 3102343440 its reverse (443432013), we get a palindrome (3545775453).

The spelling of 3102343440 in words is "three billion, one hundred two million, three hundred forty-three thousand, four hundred forty".