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3401210000 = 2454340121
BaseRepresentation
bin1100101010111010…
…0101100010010000
322210000222100222202
43022232211202100
523431202210000
61321255422332
7150166544066
oct31256454220
98700870882
103401210000
111495992461
127ab0849a8
1342285a7c6
14243a04036
1514d8e5dd5
hexcaba5890

3401210000 has 50 divisors (see below), whose sum is σ = 8234693742. Its totient is φ = 1360480000.

The previous prime is 3401209961. The next prime is 3401210003. The reversal of 3401210000 is 121043.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 488233216 + 2912976784 = 22096^2 + 53972^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is not an unprimeable number, because it can be changed into a prime (3401210003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 160061 + ... + 180060.

Almost surely, 23401210000 is an apocalyptic number.

It is an amenable number.

3401210000 is an abundant number, since it is smaller than the sum of its proper divisors (4833483742).

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

3401210000 is an equidigital number, since it uses as much as digits as its factorization.

3401210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340149 (or 340128 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 3401210000 is about 58319.8936898894. The cubic root of 3401210000 is about 1503.8729545055.

Adding to 3401210000 its reverse (121043), we get a palindrome (3401331043).

The spelling of 3401210000 in words is "three billion, four hundred one million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 340121 680242 1360484 1700605 2720968 3401210 5441936 6802420 8503025 13604840 17006050 27209680 34012100 42515125 68024200 85030250 136048400 170060500 212575625 340121000 425151250 680242000 850302500 1700605000 3401210000