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3400302040 = 235732714297
BaseRepresentation
bin1100101010101100…
…0111110111011000
322202222021020111121
43022223013313120
523430434131130
61321224135024
7150156043012
oct31253076730
98688236447
103400302040
111495422283
127aa907474
13422600455
142438491b2
1514d7b6d7a
hexcaac7dd8

3400302040 has 64 divisors (see below), whose sum is σ = 7785912960. Its totient is φ = 1336227840.

The previous prime is 3400302011. The next prime is 3400302047. The reversal of 3400302040 is 402030043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400302047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 789172 + ... + 793468.

It is an arithmetic number, because the mean of its divisors is an integer number (121654890).

Almost surely, 23400302040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3400302040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3892956480).

3400302040 is an abundant number, since it is smaller than the sum of its proper divisors (4385610920).

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

3400302040 is a wasteful number, since it uses less digits than its factorization.

3400302040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4652 (or 4648 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 3400302040 is about 58312.1088625682. The cubic root of 3400302040 is about 1503.7391219371.

Adding to 3400302040 its reverse (402030043), we get a palindrome (3802332083).

The spelling of 3400302040 in words is "three billion, four hundred million, three hundred two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 271 292 365 542 584 730 1084 1355 1460 2168 2710 2920 4297 5420 8594 10840 17188 19783 21485 34376 39566 42970 79132 85940 98915 158264 171880 197830 313681 395660 627362 791320 1164487 1254724 1568405 2328974 2509448 3136810 4657948 5822435 6273620 9315896 11644870 12547240 23289740 46579480 85007551 170015102 340030204 425037755 680060408 850075510 1700151020 3400302040