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3400144420 = 225701242521
BaseRepresentation
bin1100101010101010…
…0001011000100100
322202221222020021211
43022222201120210
523430414110140
61321220521204
7150154515331
oct31252413044
98687866254
103400144420
111495324912
127aa850204
1342257679a
14243807988
1514d7852ea
hexcaaa1624

3400144420 has 24 divisors (see below), whose sum is σ = 7150518648. Its totient is φ = 1358112000.

The previous prime is 3400144409. The next prime is 3400144477. The reversal of 3400144420 is 244410043.

It can be written as a sum of positive squares in 4 ways, for example, as 1007173696 + 2392970724 = 31736^2 + 48918^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3400144391 and 3400144400.

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 7 ways as a sum of consecutive naturals, for example, 107241 + ... + 135280.

It is an arithmetic number, because the mean of its divisors is an integer number (297938277).

Almost surely, 23400144420 is an apocalyptic number.

It is an amenable number.

3400144420 is an abundant number, since it is smaller than the sum of its proper divisors (3750374228).

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

3400144420 is a wasteful number, since it uses less digits than its factorization.

3400144420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243231 (or 243229 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 3400144420 is about 58310.7573265860. The cubic root of 3400144420 is about 1503.7158864500.

Adding to 3400144420 its reverse (244410043), we get a palindrome (3644554463).

The spelling of 3400144420 in words is "three billion, four hundred million, one hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 701 1402 2804 3505 7010 14020 242521 485042 970084 1212605 2425210 4850420 170007221 340014442 680028884 850036105 1700072210 3400144420