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3023036328 = 23313292291459
BaseRepresentation
bin1011010000101111…
…1101111110101000
321210200101011020110
42310023331332220
522142344130303
61215550054320
7134625245664
oct26413757650
97720334213
103023036328
111311474a34
127044aa3a0
133923bb9c0
142096c18a4
1512a5e4703
hexb42fdfa8

3023036328 has 128 divisors (see below), whose sum is σ = 8462160000. Its totient is φ = 893555712.

The previous prime is 3023036293. The next prime is 3023036347. The reversal of 3023036328 is 8236303203.

It is a junction number, because it is equal to n+sod(n) for n = 3023036295 and 3023036304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2071263 + ... + 2072721.

It is an arithmetic number, because the mean of its divisors is an integer number (66110625).

Almost surely, 23023036328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3023036328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4231080000).

3023036328 is an abundant number, since it is smaller than the sum of its proper divisors (5439123672).

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

3023036328 is a wasteful number, since it uses less digits than its factorization.

3023036328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 3023036328 is about 54982.1455383473. The cubic root of 3023036328 is about 1445.9317319591.

The spelling of 3023036328 in words is "three billion, twenty-three million, thirty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 174 229 232 312 348 377 458 687 696 754 916 1131 1374 1459 1508 1832 2262 2748 2918 2977 3016 4377 4524 5496 5836 5954 6641 8754 8931 9048 11672 11908 13282 17508 17862 18967 19923 23816 26564 35016 35724 37934 39846 42311 53128 56901 71448 75868 79692 84622 86333 113802 126933 151736 159384 169244 172666 227604 253866 258999 334111 338488 345332 455208 507732 517998 550043 668222 690664 1002333 1015464 1035996 1100086 1336444 1650129 2004666 2071992 2200172 2672888 3300258 4009332 4343443 4400344 6600516 8018664 8686886 9689219 13030329 13201032 17373772 19378438 26060658 29067657 34747544 38756876 52121316 58135314 77513752 104242632 116270628 125959847 232541256 251919694 377879541 503839388 755759082 1007678776 1511518164 3023036328