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2343140400 = 243526592963
BaseRepresentation
bin1000101110101001…
…0111110000110000
320001022000212100210
42023222113300300
514244320443100
61024301344120
7112031236056
oct21352276060
96038025323
102343140400
11aa2707077
12554868040
132b459b213
1418329c1d6
15daa93c50
hex8ba97c30

2343140400 has 120 divisors (see below), whose sum is σ = 7519786560. Its totient is φ = 623678720.

The previous prime is 2343140399. The next prime is 2343140411. The reversal of 2343140400 is 40413432.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×23431404002 = 10980613868224320000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 789319 + ... + 792281.

It is an arithmetic number, because the mean of its divisors is an integer number (62664888).

Almost surely, 22343140400 is an apocalyptic number.

2343140400 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 2343140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3759893280).

2343140400 is an abundant number, since it is smaller than the sum of its proper divisors (5176646160).

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

2343140400 is a wasteful number, since it uses less digits than its factorization.

2343140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3643 (or 3632 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2343140400 is about 48405.9954964259. The cubic root of 2343140400 is about 1328.2080376409.

Adding to 2343140400 its reverse (40413432), we get a palindrome (2383553832).

The spelling of 2343140400 in words is "two billion, three hundred forty-three million, one hundred forty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 659 1200 1318 1977 2636 2963 3295 3954 5272 5926 6590 7908 8889 9885 10544 11852 13180 14815 15816 16475 17778 19770 23704 26360 29630 31632 32950 35556 39540 44445 47408 49425 52720 59260 65900 71112 74075 79080 88890 98850 118520 131800 142224 148150 158160 177780 197700 222225 237040 263600 296300 355560 395400 444450 592600 711120 790800 888900 1185200 1777800 1952617 3555600 3905234 5857851 7810468 9763085 11715702 15620936 19526170 23431404 29289255 31241872 39052340 46862808 48815425 58578510 78104680 93725616 97630850 117157020 146446275 156209360 195261700 234314040 292892550 390523400 468628080 585785100 781046800 1171570200 2343140400