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2321424240 = 243554717683
BaseRepresentation
bin1000101001011110…
…0001111101110000
312222210011120101120
42022113201331300
514223241033430
61022204102240
7111345531462
oct21227417560
95883146346
102321424240
11a91424433
12549534980
132acc36915
14180448132
15d8c04610
hex8a5e1f70

2321424240 has 80 divisors (see below), whose sum is σ = 7209979008. Its totient is φ = 617879808.

The previous prime is 2321424233. The next prime is 2321424251. The reversal of 2321424240 is 424241232.

2321424240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 2321424240.

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, 122439 + ... + 140121.

Almost surely, 22321424240 is an apocalyptic number.

2321424240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2321424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3604989504).

2321424240 is an abundant number, since it is smaller than the sum of its proper divisors (4888554768).

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

2321424240 is a wasteful number, since it uses less digits than its factorization.

2321424240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18246 (or 18240 counting only the distinct ones).

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

The square root of 2321424240 is about 48181.1606335920. The cubic root of 2321424240 is about 1324.0920306112.

Adding to 2321424240 its reverse (424241232), we get a palindrome (2745665472).

The spelling of 2321424240 in words is "two billion, three hundred twenty-one million, four hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 547 1094 1641 2188 2735 3282 4376 5470 6564 8205 8752 10940 13128 16410 17683 21880 26256 32820 35366 43760 53049 65640 70732 88415 106098 131280 141464 176830 212196 265245 282928 353660 424392 530490 707320 848784 1060980 1414640 2121960 4243920 9672601 19345202 29017803 38690404 48363005 58035606 77380808 96726010 116071212 145089015 154761616 193452020 232142424 290178030 386904040 464284848 580356060 773808080 1160712120 2321424240