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2346010040 = 2351112741983
BaseRepresentation
bin1000101111010101…
…0100010110111000
320001111102122202202
42023311110112320
514301034310130
61024443045332
7112064520263
oct21365242670
96044378682
102346010040
11aa4297080
12555810848
132b506442a
14183807cda
15dae5e145
hex8bd545b8

2346010040 has 64 divisors (see below), whose sum is σ = 5803868160. Its totient is φ = 846357120.

The previous prime is 2346010031. The next prime is 2346010067. The reversal of 2346010040 is 400106432.

It is a happy number.

2346010040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2346009994 and 2346010021.

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, 34889 + ... + 76871.

It is an arithmetic number, because the mean of its divisors is an integer number (90685440).

Almost surely, 22346010040 is an apocalyptic number.

2346010040 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 2346010040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901934080).

2346010040 is an abundant number, since it is smaller than the sum of its proper divisors (3457858120).

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

2346010040 is a wasteful number, since it uses less digits than its factorization.

2346010040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42132 (or 42128 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2346010040 is about 48435.6277960759. The cubic root of 2346010040 is about 1328.7500344700.

Adding to 2346010040 its reverse (400106432), we get a palindrome (2746116472).

The spelling of 2346010040 in words is "two billion, three hundred forty-six million, ten thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 127 220 254 440 508 635 1016 1270 1397 2540 2794 5080 5588 6985 11176 13970 27940 41983 55880 83966 167932 209915 335864 419830 461813 839660 923626 1679320 1847252 2309065 3694504 4618130 5331841 9236260 10663682 18472520 21327364 26659205 42654728 53318410 58650251 106636820 117300502 213273640 234601004 293251255 469202008 586502510 1173005020 2346010040