Search a number
-
+
2354242512 = 243375992213
BaseRepresentation
bin1000110001010010…
…1110001111010000
320002001220220121010
42030110232033100
514310141230022
61025335330520
7112224505536
oct21424561720
96061826533
102354242512
11aa89aa276
12558520a40
132b698760b
1418494c156
15dba3850c
hex8c52e3d0

2354242512 has 80 divisors (see below), whose sum is σ = 6259420800. Its totient is φ = 761918976.

The previous prime is 2354242463. The next prime is 2354242523. The reversal of 2354242512 is 2152424532.

It is a self number, because there is not a number n which added to its sum of digits gives 2354242512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1062718 + ... + 1064930.

It is an arithmetic number, because the mean of its divisors is an integer number (78242760).

Almost surely, 22354242512 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 2354242512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3129710400).

2354242512 is an abundant number, since it is smaller than the sum of its proper divisors (3905178288).

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

2354242512 is a wasteful number, since it uses less digits than its factorization.

2354242512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2860 (or 2854 counting only the distinct ones).

The product of its digits is 19200, while the sum is 30.

The square root of 2354242512 is about 48520.5370126919. The cubic root of 2354242512 is about 1330.3024755350.

The spelling of 2354242512 in words is "two billion, three hundred fifty-four million, two hundred forty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 599 888 1198 1776 1797 2213 2396 3594 4426 4792 6639 7188 8852 9584 13278 14376 17704 22163 26556 28752 35408 44326 53112 66489 81881 88652 106224 132978 163762 177304 245643 265956 327524 354608 491286 531912 655048 982572 1063824 1310096 1325587 1965144 2651174 3930288 3976761 5302348 7953522 10604696 15907044 21209392 31814088 49046719 63628176 98093438 147140157 196186876 294280314 392373752 588560628 784747504 1177121256 2354242512