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4240323540 = 2233568311497
BaseRepresentation
bin1111110010111110…
…0011001111010100
3101221111220202101000
43330233203033110
532141010323130
61540432503300
7210036104205
oct37457431724
911844822330
104240323540
111886608922
129a40aab30
135276568ab
142c32315ac
1519c3e7260
hexfcbe33d4

4240323540 has 96 divisors (see below), whose sum is σ = 13212581760. Its totient is φ = 1128999168.

The previous prime is 4240323491. The next prime is 4240323547. The reversal of 4240323540 is 453230424.

4240323540 is a `hidden beast` number, since 424 + 0 + 3 + 235 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4240323547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 363072 + ... + 374568.

It is an arithmetic number, because the mean of its divisors is an integer number (137631060).

Almost surely, 24240323540 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 4240323540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6606290880).

4240323540 is an abundant number, since it is smaller than the sum of its proper divisors (8972258220).

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

4240323540 is a wasteful number, since it uses less digits than its factorization.

4240323540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12198 (or 12190 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 4240323540 is about 65117.7667000336. The cubic root of 4240323540 is about 1618.5756341556.

Adding to 4240323540 its reverse (453230424), we get a palindrome (4693553964).

The spelling of 4240323540 in words is "four billion, two hundred forty million, three hundred twenty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 683 1366 2049 2732 3415 4098 6147 6830 8196 10245 11497 12294 13660 18441 20490 22994 24588 30735 34491 36882 40980 45988 57485 61470 68982 73764 92205 103473 114970 122940 137964 172455 184410 206946 229940 310419 344910 368820 413892 517365 620838 689820 1034730 1241676 1552095 2069460 3104190 6208380 7852451 15704902 23557353 31409804 39262255 47114706 70672059 78524510 94229412 117786765 141344118 157049020 212016177 235573530 282688236 353360295 424032354 471147060 706720590 848064708 1060080885 1413441180 2120161770 4240323540