Search a number
-
+
3400223420 = 2251129671453
BaseRepresentation
bin1100101010101011…
…0100101010111100
322202222010020122202
43022222310222330
523430424122140
61321222331032
7150155264546
oct31252645274
98688106582
103400223420
111495379200
127aa889a78
134225a3729
14243828696
1514d79d915
hexcaab4abc

3400223420 has 72 divisors (see below), whose sum is σ = 7862138592. Its totient is φ = 1234316160.

The previous prime is 3400223399. The next prime is 3400223429. The reversal of 3400223420 is 243220043.

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 = 3400223392 and 3400223401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400223429) 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 23 ways as a sum of consecutive naturals, for example, 2339414 + ... + 2340866.

Almost surely, 23400223420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3400223420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931069296).

3400223420 is an abundant number, since it is smaller than the sum of its proper divisors (4461915172).

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

3400223420 is a wasteful number, since it uses less digits than its factorization.

3400223420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 3400223420 is about 58311.4347276758. The cubic root of 3400223420 is about 1503.7275322921.

Adding to 3400223420 its reverse (243220043), we get a palindrome (3643443463).

The spelling of 3400223420 in words is "three billion, four hundred million, two hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 967 1210 1453 1934 2420 2906 3868 4835 5812 7265 9670 10637 14530 15983 19340 21274 29060 31966 42548 53185 63932 79915 106370 117007 159830 175813 212740 234014 319660 351626 468028 585035 703252 879065 1170070 1405051 1758130 2340140 2810102 3516260 5620204 7025255 14050510 15455561 28101020 30911122 61822244 77277805 154555610 170011171 309111220 340022342 680044684 850055855 1700111710 3400223420