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34122402340 = 22513274947741
BaseRepresentation
bin11111110001110110…
…101000101000100100
310021002001022122021021
4133301312220220210
51024340313333330
623401533300524
72315404430365
oct376166505044
9107061278237
1034122402340
111352022aa14
126743634744
1332aa472020
141919b41b6c
15d4a9cb67a
hex7f1da8a24

34122402340 has 48 divisors (see below), whose sum is σ = 77198814000. Its totient is φ = 12594193920.

The previous prime is 34122402319. The next prime is 34122402341. The reversal of 34122402340 is 4320422143.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 20007536704 + 14114865636 = 141448^2 + 118806^2 .

It is not an unprimeable number, because it can be changed into a prime (34122402341) 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, 690870 + ... + 738610.

It is an arithmetic number, because the mean of its divisors is an integer number (1608308625).

Almost surely, 234122402340 is an apocalyptic number.

It is an amenable number.

34122402340 is an abundant number, since it is smaller than the sum of its proper divisors (43076411660).

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

34122402340 is a wasteful number, since it uses less digits than its factorization.

34122402340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50512 (or 50510 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 34122402340 its reverse (4320422143), we get a palindrome (38442824483).

The spelling of 34122402340 in words is "thirty-four billion, one hundred twenty-two million, four hundred two thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 2749 5498 10996 13745 27490 35737 47741 54980 71474 95482 142948 178685 190964 238705 357370 477410 620633 714740 954820 1241266 2482532 3103165 6206330 12412660 131240009 262480018 524960036 656200045 1312400090 1706120117 2624800180 3412240234 6824480468 8530600585 17061201170 34122402340