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10340323440 = 243517231011091
BaseRepresentation
bin10011010000101010…
…01101000001110000
3222200122010212010020
421220111031001300
5132134110322230
64430021003440
7514146204366
oct115025150160
928618125106
1010340323440
114426930057
122006b53580
13c8a3660a5
14701431636
15407bd4810
hex26854d070

10340323440 has 320 divisors, whose sum is σ = 35799708672. Its totient is φ = 2455552000.

The previous prime is 10340323387. The next prime is 10340323493. The reversal of 10340323440 is 4432304301.

It is an interprime number because it is at equal distance from previous prime (10340323387) and next prime (10340323493).

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 10340323440.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 9477295 + ... + 9478385.

Almost surely, 210340323440 is an apocalyptic number.

10340323440 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 10340323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17899854336).

10340323440 is an abundant number, since it is smaller than the sum of its proper divisors (25459385232).

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

10340323440 is a wasteful number, since it uses less digits than its factorization.

10340323440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1242 counting only the distinct ones).

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

Adding to 10340323440 its reverse (4432304301), we get a palindrome (14772627741).

The spelling of 10340323440 in words is "ten billion, three hundred forty million, three hundred twenty-three thousand, four hundred forty".