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3021920784 = 24365092
BaseRepresentation
bin1011010000011110…
…1101101000010000
321210121021111000000
42310013231220100
522142102431114
61215510130000
7134612621451
oct26407555020
97717244000
103021920784
1113108828a3
12704050900
133920bb00c
142094b1128
1512a473e09
hexb41eda10

3021920784 has 105 divisors (see below), whose sum is σ = 8795721853. Its totient is φ = 1005327936.

The previous prime is 3021920779. The next prime is 3021920807. The reversal of 3021920784 is 4870291203.

The square root of 3021920784 is 54972.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2457383184 + 564537600 = 49572^2 + 23760^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 5936722 + ... + 5937230.

Almost surely, 23021920784 is an apocalyptic number.

3021920784 is the 54972-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3021920784

3021920784 is an abundant number, since it is smaller than the sum of its proper divisors (5773801069).

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

3021920784 is an frugal number, since it uses more digits than its factorization.

3021920784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The cubic root of 3021920784 is about 1445.7538535238.

Multiplying 3021920784 by its sum of digits (36), we get a square (108789148224 = 3298322).

3021920784 divided by its sum of digits (36) gives a square (83942244 = 91622).

The spelling of 3021920784 in words is "three billion, twenty-one million, nine hundred twenty thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 509 648 729 972 1018 1296 1458 1527 1944 2036 2916 3054 3888 4072 4581 5832 6108 8144 9162 11664 12216 13743 18324 24432 27486 36648 41229 54972 73296 82458 109944 123687 164916 219888 247374 259081 329832 371061 494748 518162 659664 742122 777243 989496 1036324 1484244 1554486 1978992 2072648 2331729 2968488 3108972 4145296 4663458 5936976 6217944 6995187 9326916 12435888 13990374 18653832 20985561 27980748 37307664 41971122 55961496 62956683 83942244 111922992 125913366 167884488 188870049 251826732 335768976 377740098 503653464 755480196 1007306928 1510960392 3021920784