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34103531024 = 2431203933721
BaseRepresentation
bin11111110000101110…
…101001011000010000
310021000201210212200122
4133300232221120100
51024321000443044
623400021005412
72315055142103
oct376056513020
9107021725618
1034103531024
1113510610692
126739253868
1332a6595574
14191742c73a
15d48eeedee
hex7f0ba9610

34103531024 has 40 divisors (see below), whose sum is σ = 68242536960. Its totient is φ = 16493126400.

The previous prime is 34103530987. The next prime is 34103531027. The reversal of 34103531024 is 42013530143.

It is a junction number, because it is equal to n+sod(n) for n = 34103530984 and 34103531002.

It is not an unprimeable number, because it can be changed into a prime (34103531027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 994484 + ... + 1028204.

It is an arithmetic number, because the mean of its divisors is an integer number (1706063424).

Almost surely, 234103531024 is an apocalyptic number.

It is an amenable number.

34103531024 is an abundant number, since it is smaller than the sum of its proper divisors (34139005936).

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

34103531024 is a wasteful number, since it uses less digits than its factorization.

34103531024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35799 (or 35793 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The spelling of 34103531024 in words is "thirty-four billion, one hundred three million, five hundred thirty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 31 62 124 248 496 2039 4078 8156 16312 32624 33721 63209 67442 126418 134884 252836 269768 505672 539536 1011344 1045351 2090702 4181404 8362808 16725616 68757119 137514238 275028476 550056952 1100113904 2131470689 4262941378 8525882756 17051765512 34103531024