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3459030834 = 23731798869
BaseRepresentation
bin1100111000101100…
…1001111100110010
322221001202222021010
43032023021330302
524041002441314
61331123011350
7151501164000
oct31613117462
98831688233
103459030834
111515595076
12806509b56
1343182390c
1424b575a70
15153a18059
hexce2c9f32

3459030834 has 64 divisors (see below), whose sum is σ = 8542368000. Its totient is φ = 930150144.

The previous prime is 3459030833. The next prime is 3459030899. The reversal of 3459030834 is 4380309543.

It is a junction number, because it is equal to n+sod(n) for n = 3459030792 and 3459030801.

It is not an unprimeable number, because it can be changed into a prime (3459030833) 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 31 ways as a sum of consecutive naturals, for example, 14449 + ... + 84420.

It is an arithmetic number, because the mean of its divisors is an integer number (133474500).

Almost surely, 23459030834 is an apocalyptic number.

3459030834 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3459030834 is an abundant number, since it is smaller than the sum of its proper divisors (5083337166).

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

3459030834 is a wasteful number, since it uses less digits than its factorization.

3459030834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98912 (or 98898 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 3459030834 is about 58813.5259442928. The cubic root of 3459030834 is about 1512.3470996678.

The spelling of 3459030834 in words is "three billion, four hundred fifty-nine million, thirty thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 98 102 119 147 238 294 343 357 686 714 833 1029 1666 2058 2499 4998 5831 11662 17493 34986 98869 197738 296607 593214 692083 1384166 1680773 2076249 3361546 4152498 4844581 5042319 9689162 10084638 11765411 14533743 23530822 29067486 33912067 35296233 67824134 70592466 82357877 101736201 164715754 203472402 247073631 494147262 576505139 1153010278 1729515417 3459030834