Search a number
-
+
34114030040 = 2357311682887
BaseRepresentation
bin11111110001010110…
…101100100111011000
310021001110120021122002
4133301112230213120
51024331142430130
623401034020132
72315243320346
oct376126544730
9107043507562
1034114030040
1113516531762
126740877648
1332a88002bc
1419189a2996
15d49dc5b45
hex7f15ac9d8

34114030040 has 32 divisors (see below), whose sum is σ = 77808034080. Its totient is φ = 13458684672.

The previous prime is 34114030003. The next prime is 34114030063. The reversal of 34114030040 is 4003041143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 34114029994 and 34114030021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5838524 + ... + 5844363.

It is an arithmetic number, because the mean of its divisors is an integer number (2431501065).

Almost surely, 234114030040 is an apocalyptic number.

It is an amenable number.

34114030040 is an abundant number, since it is smaller than the sum of its proper divisors (43694004040).

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

34114030040 is a wasteful number, since it uses less digits than its factorization.

34114030040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11682971 (or 11682967 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 34114030040 its reverse (4003041143), we get a palindrome (38117071183).

The spelling of 34114030040 in words is "thirty-four billion, one hundred fourteen million, thirty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 11682887 23365774 46731548 58414435 93463096 116828870 233657740 467315480 852850751 1705701502 3411403004 4264253755 6822806008 8528507510 17057015020 34114030040