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2431304240 = 245235632347
BaseRepresentation
bin1001000011101010…
…1100001000110000
320021102221001102012
42100322230020300
514434403213430
61041131142052
7114151513361
oct22072541060
96242831365
102431304240
111038453952
1257a2a4928
132c9929481
14190c8bb68
15e36ab695
hex90eac230

2431304240 has 80 divisors (see below), whose sum is σ = 5911550208. Its totient is φ = 928190208.

The previous prime is 2431304203. The next prime is 2431304243. The reversal of 2431304240 is 424031342.

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

It is a super-2 number, since 2×24313042402 = 11822480614883955200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (2431304243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1034747 + ... + 1037093.

Almost surely, 22431304240 is an apocalyptic number.

2431304240 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 2431304240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2955775104).

2431304240 is an abundant number, since it is smaller than the sum of its proper divisors (3480245968).

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

2431304240 is a wasteful number, since it uses less digits than its factorization.

2431304240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2946 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2431304240 is about 49308.2573206557. The cubic root of 2431304240 is about 1344.6619088211.

Adding to 2431304240 its reverse (424031342), we get a palindrome (2855335582).

The spelling of 2431304240 in words is "two billion, four hundred thirty-one million, three hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 563 920 1126 1840 2252 2347 2815 4504 4694 5630 9008 9388 11260 11735 12949 18776 22520 23470 25898 37552 45040 46940 51796 53981 64745 93880 103592 107962 129490 187760 207184 215924 258980 269905 431848 517960 539810 863696 1035920 1079620 1321361 2159240 2642722 4318480 5285444 6606805 10570888 13213610 21141776 26427220 30391303 52854440 60782606 105708880 121565212 151956515 243130424 303913030 486260848 607826060 1215652120 2431304240