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2124254034 = 2327412831453
BaseRepresentation
bin111111010011101…
…1000101101010010
312111001011021201100
41332213120231102
513322302112114
6550442045230
7103432601310
oct17647305522
95431137640
102124254034
119a00a4551
124b34a9816
1327b130666
141621a10b0
15c6758909
hex7e9d8b52

2124254034 has 96 divisors (see below), whose sum is σ = 5411113344. Its totient is φ = 589628160.

The previous prime is 2124254029. The next prime is 2124254081. The reversal of 2124254034 is 4304524212.

2124254034 is a `hidden beast` number, since 212 + 42 + 5 + 403 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2124253989 and 2124254007.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1461252 + ... + 1462704.

It is an arithmetic number, because the mean of its divisors is an integer number (56365764).

Almost surely, 22124254034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124254034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2705556672).

2124254034 is an abundant number, since it is smaller than the sum of its proper divisors (3286859310).

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

2124254034 is a wasteful number, since it uses less digits than its factorization.

2124254034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 1789 counting only the distinct ones).

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

The square root of 2124254034 is about 46089.6304389610. The cubic root of 2124254034 is about 1285.4903393973.

Adding to 2124254034 its reverse (4304524212), we get a palindrome (6428778246).

The spelling of 2124254034 in words is "two billion, one hundred twenty-four million, two hundred fifty-four thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 246 283 287 369 566 574 738 849 861 1453 1698 1722 1981 2547 2583 2906 3962 4359 5094 5166 5943 8718 10171 11603 11886 13077 17829 20342 23206 26154 30513 34809 35658 59573 61026 69618 81221 91539 104427 119146 162442 178719 183078 208854 243663 357438 411199 417011 487326 536157 730989 822398 834022 1072314 1233597 1251033 1461978 2467194 2502066 2878393 3700791 3753099 5756786 7401582 7506198 8635179 16859159 17270358 25905537 33718318 50577477 51811074 101154954 118014113 151732431 236028226 303464862 354042339 708084678 1062127017 2124254034