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2134645324 = 2271721511747
BaseRepresentation
bin111111100111100…
…0001101001001100
312111202201012212221
41333033001221030
513332432122244
6551452505124
7103620120520
oct17717015114
95452635787
102134645324
119a5a51699
124b6a7b1a4
1328032b356
14163707d80
15c760c784
hex7f3c1a4c

2134645324 has 72 divisors (see below), whose sum is σ = 4567845632. Its totient is φ = 854841600.

The previous prime is 2134645309. The next prime is 2134645367. The reversal of 2134645324 is 4235464312.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 2134645324.

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, 1221019 + ... + 1222765.

Almost surely, 22134645324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134645324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283922816).

2134645324 is an abundant number, since it is smaller than the sum of its proper divisors (2433200308).

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

2134645324 is a wasteful number, since it uses less digits than its factorization.

2134645324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943 (or 1924 counting only the distinct ones).

The product of its digits is 69120, while the sum is 34.

The square root of 2134645324 is about 46202.2220677751. Note that the first 3 decimals coincide. The cubic root of 2134645324 is about 1287.5830239483.

The spelling of 2134645324 in words is "two billion, one hundred thirty-four million, six hundred forty-five thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 17 28 34 68 119 151 238 289 302 476 578 604 1057 1156 1747 2023 2114 2567 3494 4046 4228 5134 6988 8092 10268 12229 17969 24458 29699 35938 43639 48916 59398 71876 87278 118796 174556 207893 263797 305473 415786 504883 527594 610946 831572 1009766 1055188 1221892 1846579 2019532 3534181 3693158 4484549 7068362 7386316 8969098 14136724 17938196 31391843 62783686 76237333 125567372 152474666 304949332 533661331 1067322662 2134645324