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2313451040 = 2556723221
BaseRepresentation
bin1000100111100100…
…0111011000100000
312222020011111012212
42021321013120200
514214220413130
61021321141252
7111221003135
oct21171073040
95866144185
102313451040
11a8797900a
1254692a828
132ab3a4754
1417d37058c
15d817be95
hex89e47620

2313451040 has 72 divisors (see below), whose sum is σ = 5550043212. Its totient is φ = 911285760.

The previous prime is 2313451037. The next prime is 2313451073. The reversal of 2313451040 is 401543132.

It can be written as a sum of positive squares in 2 ways, for example, as 2301312784 + 12138256 = 47972^2 + 3484^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2313450997 and 2313451015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 716630 + ... + 719850.

Almost surely, 22313451040 is an apocalyptic number.

2313451040 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 2313451040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2775021606).

2313451040 is an abundant number, since it is smaller than the sum of its proper divisors (3236592172).

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

2313451040 is an equidigital number, since it uses as much as digits as its factorization.

2313451040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370 (or 3295 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 2313451040 is about 48098.3475807641. The cubic root of 2313451040 is about 1322.5743760306.

Adding to 2313451040 its reverse (401543132), we get a palindrome (2714994172).

The spelling of 2313451040 in words is "two billion, three hundred thirteen million, four hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 134 160 268 335 536 670 1072 1340 2144 2680 3221 4489 5360 6442 8978 10720 12884 16105 17956 22445 25768 32210 35912 44890 51536 64420 71824 89780 103072 128840 143648 179560 215807 257680 359120 431614 515360 718240 863228 1079035 1726456 2158070 3452912 4316140 6905824 8632280 14459069 17264560 28918138 34529120 57836276 72295345 115672552 144590690 231345104 289181380 462690208 578362760 1156725520 2313451040