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3042404964 = 22322923172
BaseRepresentation
bin1011010101010111…
…0110101001100100
321212000211012000100
42311111312221210
522212323424324
61221521144100
7135252005214
oct26525665144
97760735010
103042404964
1113213a3975
1270aa8b030
13396410931
1420c0c4244
1512c16d4c9
hexb5576a64

3042404964 has 81 divisors (see below), whose sum is σ = 7990063627. Its totient is φ = 976075968.

The previous prime is 3042404941. The next prime is 3042404969. The reversal of 3042404964 is 4694042403.

The square root of 3042404964 is 55158.

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

It can be written as a sum of positive squares in 4 ways, for example, as 756800100 + 2285604864 = 27510^2 + 47808^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3042404969) 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 26 ways as a sum of consecutive naturals, for example, 9597334 + ... + 9597650.

Almost surely, 23042404964 is an apocalyptic number.

3042404964 is the 55158-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3042404964

3042404964 is an abundant number, since it is smaller than the sum of its proper divisors (4947658663).

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

3042404964 is a wasteful number, since it uses less digits than its factorization.

3042404964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The cubic root of 3042404964 is about 1449.0131952441.

Multiplying 3042404964 by its sum of digits (36), we get a square (109526578704 = 3309482).

3042404964 divided by its sum of digits (36) gives a square (84511249 = 91932).

Multiplying 3042404964 by its product of nonzero digits (82944), we get a square (252349237334016 = 158855042).

The spelling of 3042404964 in words is "three billion, forty-two million, four hundred four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 317 348 522 634 841 951 1044 1268 1682 1902 2523 2853 3364 3804 5046 5706 7569 9193 10092 11412 15138 18386 27579 30276 36772 55158 82737 100489 110316 165474 200978 266597 301467 330948 401956 533194 602934 799791 904401 1066388 1205868 1599582 1808802 2399373 2914181 3199164 3617604 4798746 5828362 8742543 9597492 11656724 17485086 26227629 34970172 52455258 84511249 104910516 169022498 253533747 338044996 507067494 760601241 1014134988 1521202482 3042404964