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10344002420 = 2251927221059
BaseRepresentation
bin10011010001000110…
…01111001101110100
3222200220001202201202
421220203033031310
5132141031034140
64430231512032
7514222366313
oct115043171564
928626052652
1010344002420
114428a13134
122008228618
13c8b0537bb
14701b0c27a
154081ae915
hex2688cf374

10344002420 has 24 divisors (see below), whose sum is σ = 22865690400. Its totient is φ = 3919832352.

The previous prime is 10344002411. The next prime is 10344002423. The reversal of 10344002420 is 2420044301.

10344002420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10344002392 and 10344002401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10344002423) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 13610150 + ... + 13610909.

It is an arithmetic number, because the mean of its divisors is an integer number (952737100).

Almost surely, 210344002420 is an apocalyptic number.

10344002420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10344002420 is an abundant number, since it is smaller than the sum of its proper divisors (12521687980).

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

10344002420 is a wasteful number, since it uses less digits than its factorization.

10344002420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27221087 (or 27221085 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10344002420 its reverse (2420044301), we get a palindrome (12764046721).

The spelling of 10344002420 in words is "ten billion, three hundred forty-four million, two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 27221059 54442118 108884236 136105295 272210590 517200121 544421180 1034400242 2068800484 2586000605 5172001210 10344002420