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3029042790 = 234529312763
BaseRepresentation
bin1011010010001011…
…1000011001100110
321211002200022120000
42310202320121212
522200413332130
61220322522130
7135030303354
oct26442703146
97732608500
103029042790
1113148a7754
12706506346
13393712917
1420a4067d4
1512adce260
hexb48b8666

3029042790 has 80 divisors (see below), whose sum is σ = 8173197648. Its totient is φ = 804924864.

The previous prime is 3029042773. The next prime is 3029042839. The reversal of 3029042790 is 972409203.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 230949 + ... + 243711.

Almost surely, 23029042790 is an apocalyptic number.

3029042790 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3029042790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4086598824).

3029042790 is an abundant number, since it is smaller than the sum of its proper divisors (5144154858).

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

3029042790 is a wasteful number, since it uses less digits than its factorization.

3029042790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13075 (or 13066 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3029042790 is about 55036.7403649598. The cubic root of 3029042790 is about 1446.8887375851. Note that the first 3 decimals are identical.

The spelling of 3029042790 in words is "three billion, twenty-nine million, forty-two thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 293 405 586 810 879 1465 1758 2637 2930 4395 5274 7911 8790 12763 13185 15822 23733 25526 26370 38289 39555 47466 63815 76578 79110 114867 118665 127630 191445 229734 237330 344601 382890 574335 689202 1033803 1148670 1723005 2067606 3446010 3739559 5169015 7479118 10338030 11218677 18697795 22437354 33656031 37395590 56093385 67312062 100968093 112186770 168280155 201936186 302904279 336560310 504840465 605808558 1009680930 1514521395 3029042790