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2134024440 = 233521298353
BaseRepresentation
bin111111100110010…
…1010000011111000
312111201112200012020
41333030222003320
513332302240230
6551431314440
7103611623412
oct17714520370
95451480166
102134024440
119a5668169
124b681ba20
13280171872
141635c59b2
15c7538810
hex7f32a0f8

2134024440 has 64 divisors (see below), whose sum is σ = 6405847200. Its totient is φ = 568737792.

The previous prime is 2134024439. The next prime is 2134024447. The reversal of 2134024440 is 444204312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2134024440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134024447) 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 15 ways as a sum of consecutive naturals, for example, 251304 + ... + 259656.

Almost surely, 22134024440 is an apocalyptic number.

2134024440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134024440 is an abundant number, since it is smaller than the sum of its proper divisors (4271822760).

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

2134024440 is a wasteful number, since it uses less digits than its factorization.

2134024440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10496 (or 10492 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2134024440 is about 46195.5023784784. The cubic root of 2134024440 is about 1287.4581761636.

Adding to 2134024440 its reverse (444204312), we get a palindrome (2578228752).

The spelling of 2134024440 in words is "two billion, one hundred thirty-four million, twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2129 4258 6387 8353 8516 10645 12774 16706 17032 21290 25059 25548 31935 33412 41765 42580 50118 51096 63870 66824 83530 85160 100236 125295 127740 167060 200472 250590 255480 334120 501180 1002360 17783537 35567074 53350611 71134148 88917685 106701222 142268296 177835370 213402444 266753055 355670740 426804888 533506110 711341480 1067012220 2134024440