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2034401420 = 225591938933
BaseRepresentation
bin111100101000010…
…1000000010001100
312020210002022002202
41321100220002030
513131301321140
6533512141032
7101262061322
oct17120500214
95223068082
102034401420
11954403997
12489397778
1326563082c
14154291d12
15bd90a915
hex7942808c

2034401420 has 48 divisors (see below), whose sum is σ = 4367653920. Its totient is φ = 795734016.

The previous prime is 2034401389. The next prime is 2034401437. The reversal of 2034401420 is 241044302.

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 = 2034401392 and 2034401401.

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 15 ways as a sum of consecutive naturals, for example, 223274 + ... + 232206.

It is an arithmetic number, because the mean of its divisors is an integer number (90992790).

Almost surely, 22034401420 is an apocalyptic number.

2034401420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2034401420 is an abundant number, since it is smaller than the sum of its proper divisors (2333252500).

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

2034401420 is a wasteful number, since it uses less digits than its factorization.

2034401420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9194 (or 9192 counting only the distinct ones).

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

The square root of 2034401420 is about 45104.3392591001. The cubic root of 2034401420 is about 1267.1038683152.

Adding to 2034401420 its reverse (241044302), we get a palindrome (2275445722).

The spelling of 2034401420 in words is "two billion, thirty-four million, four hundred one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 59 118 193 236 295 386 590 772 965 1180 1930 3860 8933 11387 17866 22774 35732 44665 45548 56935 89330 113870 178660 227740 527047 1054094 1724069 2108188 2635235 3448138 5270470 6896276 8620345 10540940 17240690 34481380 101720071 203440142 406880284 508600355 1017200710 2034401420