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2341401000 = 233537571031
BaseRepresentation
bin1000101110001110…
…1111000110101000
320001011202111100120
42023203233012220
514243344313000
61024200203240
7112010402661
oct21343570650
96034674316
102341401000
11aa1729254
12554169520
132b410c5a3
14182d68368
15da84d6a0
hex8b8ef1a8

2341401000 has 128 divisors (see below), whose sum is σ = 7321916160. Its totient is φ = 622944000.

The previous prime is 2341400993. The next prime is 2341401079. The reversal of 2341401000 is 1041432.

2341401000 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 (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2270485 + ... + 2271515.

It is an arithmetic number, because the mean of its divisors is an integer number (57202470).

Almost surely, 22341401000 is an apocalyptic number.

2341401000 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 2341401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3660958080).

2341401000 is an abundant number, since it is smaller than the sum of its proper divisors (4980515160).

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

2341401000 is a wasteful number, since it uses less digits than its factorization.

2341401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2341401000 is about 48388.0253781863. The cubic root of 2341401000 is about 1327.8792969238.

Adding to 2341401000 its reverse (1041432), we get a palindrome (2342442432).

The spelling of 2341401000 in words is "two billion, three hundred forty-one million, four hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 757 1000 1031 1500 1514 2062 2271 3000 3028 3093 3785 4124 4542 5155 6056 6186 7570 8248 9084 10310 11355 12372 15140 15465 18168 18925 20620 22710 24744 25775 30280 30930 37850 41240 45420 51550 56775 61860 75700 77325 90840 94625 103100 113550 123720 128875 151400 154650 189250 206200 227100 257750 283875 309300 378500 386625 454200 515500 567750 618600 757000 773250 780467 1031000 1135500 1546500 1560934 2271000 2341401 3093000 3121868 3902335 4682802 6243736 7804670 9365604 11707005 15609340 18731208 19511675 23414010 31218680 39023350 46828020 58535025 78046700 93656040 97558375 117070050 156093400 195116750 234140100 292675125 390233500 468280200 585350250 780467000 1170700500 2341401000