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2034400122 = 232593176043
BaseRepresentation
bin111100101000010…
…0111101101111010
312020210002020022200
41321100213231322
513131301300442
6533512131030
7101262054456
oct17120475572
95223066280
102034400122
11954402a17
12489396a76
13265630071
14154291666
15bd90a34c
hex79427b7a

2034400122 has 48 divisors (see below), whose sum is σ = 4497461280. Its totient is φ = 664426656.

The previous prime is 2034400073. The next prime is 2034400139. The reversal of 2034400122 is 2210044302.

2034400122 is a `hidden beast` number, since 203 + 440 + 0 + 1 + 22 = 666.

It is a super-2 number, since 2×20344001222 = 8277567712787229768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2034400095 and 2034400104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333633 + ... + 339675.

It is an arithmetic number, because the mean of its divisors is an integer number (93697110).

Almost surely, 22034400122 is an apocalyptic number.

2034400122 is an abundant number, since it is smaller than the sum of its proper divisors (2463061158).

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

2034400122 is a wasteful number, since it uses less digits than its factorization.

2034400122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6427 (or 6424 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2034400122 is about 45104.3248702383. The cubic root of 2034400122 is about 1267.1035988336.

Adding to 2034400122 its reverse (2210044302), we get a palindrome (4244444424).

The spelling of 2034400122 in words is "two billion, thirty-four million, four hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 59 118 177 317 354 531 634 951 1062 1902 2853 5706 6043 12086 18129 18703 36258 37406 54387 56109 108774 112218 168327 336654 356537 713074 1069611 1915631 2139222 3208833 3831262 5746893 6417666 11493786 17240679 34481358 113022229 226044458 339066687 678133374 1017200061 2034400122