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3021140864 = 27721313677
BaseRepresentation
bin1011010000010010…
…1111001110000000
321210112210212011002
42310010233032000
522141403001424
61215441311132
7134603162600
oct26404571600
97715725132
103021140864
11131039a935
127039354a8
13391ba7021
1420934ac00
1512a36ccae
hexb412f380

3021140864 has 96 divisors (see below), whose sum is σ = 7056684360. Its totient is φ = 1284541440.

The previous prime is 3021140861. The next prime is 3021140869. The reversal of 3021140864 is 4680411203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3021140861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 819794 + ... + 823470.

Almost surely, 23021140864 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 3021140864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528342180).

3021140864 is an abundant number, since it is smaller than the sum of its proper divisors (4035543496).

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

3021140864 is a wasteful number, since it uses less digits than its factorization.

3021140864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3836 (or 3817 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 3021140864 is about 54964.9057490323. The cubic root of 3021140864 is about 1445.6294658199.

The spelling of 3021140864 in words is "three billion, twenty-one million, one hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 131 196 224 262 392 448 524 784 896 917 1048 1568 1834 2096 3136 3668 3677 4192 6272 6419 7336 7354 8384 12838 14672 14708 16768 25676 25739 29344 29416 51352 51478 58688 58832 102704 102956 117376 117664 180173 205408 205912 235328 360346 410816 411824 470656 481687 720692 821632 823648 963374 1441384 1647296 1926748 2882768 3294592 3371809 3853496 5765536 6743618 7706992 11531072 13487236 15413984 23062144 23602663 26974472 30827968 47205326 53948944 61655936 94410652 107897888 188821304 215795776 377642608 431591552 755285216 1510570432 3021140864