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3400640622 = 2323724121187
BaseRepresentation
bin1100101010110001…
…1010100001101110
322202222220102221200
43022230122201232
523431030444442
61321235310330
7150161653101
oct31254324156
98688812850
103400640622
1114956336a5
127aaa4b3a6
134226bb5b2
142438d6738
1514d83234c
hexcab1a86e

3400640622 has 48 divisors (see below), whose sum is σ = 7598949072. Its totient is φ = 1098282240.

The previous prime is 3400640563. The next prime is 3400640623. The reversal of 3400640622 is 2260460043.

3400640622 is a `hidden beast` number, since 34 + 0 + 0 + 6 + 4 + 0 + 622 = 666.

3400640622 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400640623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149913 + ... + 171099.

It is an arithmetic number, because the mean of its divisors is an integer number (158311439).

Almost surely, 23400640622 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3400640622, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3799474536).

3400640622 is an abundant number, since it is smaller than the sum of its proper divisors (4198308450).

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

3400640622 is a wasteful number, since it uses less digits than its factorization.

3400640622 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21473 (or 21470 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3400640622 is about 58315.0119780490. The cubic root of 3400640622 is about 1503.7890314349.

The spelling of 3400640622 in words is "three billion, four hundred million, six hundred forty thousand, six hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 241 333 482 666 723 1446 2169 4338 8917 17834 21187 26751 42374 53502 63561 80253 127122 160506 190683 381366 783919 1567838 2351757 4703514 5106067 7055271 10212134 14110542 15318201 30636402 45954603 91909206 188924479 377848958 566773437 1133546874 1700320311 3400640622