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3440057104 = 24112312432
BaseRepresentation
bin1100110100001011…
…0001101100010000
322212202002000012101
43031002301230100
524021123311404
61325204210144
7151151001001
oct31502615420
98782060171
103440057104
111505905900
12800099954
1342a90c663
14248c371a8
1515201b2a4
hexcd0b1b10

3440057104 has 135 divisors (see below), whose sum is σ = 7750205127. Its totient is φ = 1478030400.

The previous prime is 3440057099. The next prime is 3440057107. The reversal of 3440057104 is 4017500443.

The square root of 3440057104 is 58652.

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

It is not an unprimeable number, because it can be changed into a prime (3440057107) 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 26 ways as a sum of consecutive naturals, for example, 80001307 + ... + 80001349.

Almost surely, 23440057104 is an apocalyptic number.

3440057104 is the 58652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3440057104

3440057104 is an abundant number, since it is smaller than the sum of its proper divisors (4310148023).

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

3440057104 is a wasteful number, since it uses less digits than its factorization.

3440057104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The cubic root of 3440057104 is about 1509.5768157568.

Adding to 3440057104 its reverse (4017500443), we get a palindrome (7457557547).

The spelling of 3440057104 in words is "three billion, four hundred forty million, fifty-seven thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 31 43 44 62 86 88 121 124 172 176 242 248 341 344 473 484 496 682 688 946 961 968 1333 1364 1849 1892 1922 1936 2666 2728 3698 3751 3784 3844 5203 5332 5456 7396 7502 7568 7688 10406 10571 10664 14663 14792 15004 15376 20339 20812 21142 21328 29326 29584 30008 40678 41323 41624 42284 57319 58652 60016 81356 82646 83248 84568 114638 116281 117304 161293 162712 165292 169136 223729 229276 232562 234608 322586 325424 330584 447458 454553 458552 465124 630509 645172 661168 894916 909106 917104 930248 1261018 1290344 1776889 1789832 1818212 1860496 2522036 2580688 3553778 3579664 3636424 5000083 5044072 6935599 7107556 7272848 10000166 10088144 13871198 14215112 19545779 20000332 27742396 28430224 39091558 40000664 55484792 78183116 80001328 110969584 156366232 215003569 312732464 430007138 860014276 1720028552 3440057104