Search a number
-
+
2034454140 = 2232512798837
BaseRepresentation
bin111100101000011…
…0100111001111100
312020210011222102100
41321100310321330
513131310013030
6533513225100
7101262401115
oct17120647174
95223158370
102034454140
1195443a564
12489402190
1326564b824
141542a720c
15bd91b360
hex79434e7c

2034454140 has 72 divisors (see below), whose sum is σ = 6176701440. Its totient is φ = 542035584.

The previous prime is 2034454133. The next prime is 2034454151. The reversal of 2034454140 is 414544302.

It is a happy number.

2034454140 is a `hidden beast` number, since 203 + 4 + 45 + 414 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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, 225802 + ... + 234638.

It is an arithmetic number, because the mean of its divisors is an integer number (85787520).

Almost surely, 22034454140 is an apocalyptic number.

2034454140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2034454140 is an abundant number, since it is smaller than the sum of its proper divisors (4142247300).

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

2034454140 is a wasteful number, since it uses less digits than its factorization.

2034454140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10131 (or 10126 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2034454140 is about 45104.9236780199. The cubic root of 2034454140 is about 1267.1148135721.

Adding to 2034454140 its reverse (414544302), we get a palindrome (2448998442).

The spelling of 2034454140 in words is "two billion, thirty-four million, four hundred fifty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1279 2558 3837 5116 6395 7674 8837 11511 12790 15348 17674 19185 23022 25580 26511 35348 38370 44185 46044 53022 57555 76740 79533 88370 106044 115110 132555 159066 176740 230220 265110 318132 397665 530220 795330 1590660 11302523 22605046 33907569 45210092 56512615 67815138 101722707 113025230 135630276 169537845 203445414 226050460 339075690 406890828 508613535 678151380 1017227070 2034454140