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34234042432 = 261035193271
BaseRepresentation
bin11111111000100000…
…100000100001000000
310021100211101112200111
4133320200200201000
51030102403324212
623421002201104
72321231362612
oct377040404100
9107324345614
1034234042432
1113578251857
126774ab3194
1332c762ca55
14192a8c2db2
15d556ceea7
hex7f8820840

34234042432 has 28 divisors (see below), whose sum is σ = 68592736576. Its totient is φ = 16950833280.

The previous prime is 34234042429. The next prime is 34234042439. The reversal of 34234042432 is 23424043243.

It is a happy number.

It is a super-2 number, since 2×342340424322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34234042394 and 34234042403.

It is not an unprimeable number, because it can be changed into a prime (34234042439) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2590044 + ... + 2603227.

It is an arithmetic number, because the mean of its divisors is an integer number (2449740592).

Almost surely, 234234042432 is an apocalyptic number.

34234042432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34234042432 is an abundant number, since it is smaller than the sum of its proper divisors (34358694144).

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

34234042432 is a wasteful number, since it uses less digits than its factorization.

34234042432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5193386 (or 5193376 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 31.

Adding to 34234042432 its reverse (23424043243), we get a palindrome (57658085675).

The spelling of 34234042432 in words is "thirty-four billion, two hundred thirty-four million, forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 103 206 412 824 1648 3296 6592 5193271 10386542 20773084 41546168 83092336 166184672 332369344 534906913 1069813826 2139627652 4279255304 8558510608 17117021216 34234042432