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3400343140 = 2252293312243
BaseRepresentation
bin1100101010101101…
…0001111001100100
322202222100022212211
43022223101321210
523430441440030
61321225053204
7150156303565
oct31253217144
98688308784
103400343140
111495450147
127aa927204
1342261607c
1424385a16c
1514d7c412a
hexcaad1e64

3400343140 has 48 divisors (see below), whose sum is σ = 7196777280. Its totient is φ = 1349504640.

The previous prime is 3400343131. The next prime is 3400343153. The reversal of 3400343140 is 413430043.

3400343140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1514859 + ... + 1517101.

It is an arithmetic number, because the mean of its divisors is an integer number (149932860).

Almost surely, 23400343140 is an apocalyptic number.

It is an amenable number.

3400343140 is an abundant number, since it is smaller than the sum of its proper divisors (3796434140).

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

3400343140 is a wasteful number, since it uses less digits than its factorization.

3400343140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2812 (or 2810 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3400343140 is about 58312.4612754427. The cubic root of 3400343140 is about 1503.7451805586.

Adding to 3400343140 its reverse (413430043), we get a palindrome (3813773183).

The spelling of 3400343140 in words is "three billion, four hundred million, three hundred forty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 229 331 458 662 916 1145 1324 1655 2243 2290 3310 4486 4580 6620 8972 11215 22430 44860 75799 151598 303196 378995 513647 742433 757990 1027294 1484866 1515980 2054588 2568235 2969732 3712165 5136470 7424330 10272940 14848660 170017157 340034314 680068628 850085785 1700171570 3400343140