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3260410144 = 251722912157
BaseRepresentation
bin1100001001010101…
…1110100100100000
322102020000222220021
43002111132210200
523134131111034
61255305523224
7143540012635
oct30225364440
98366028807
103260410144
111423464442
1276baa3514
133cc630394
1422d03218c
151413826b4
hexc255e920

3260410144 has 72 divisors (see below), whose sum is σ = 7054436340. Its totient is φ = 1481281536.

The previous prime is 3260410121. The next prime is 3260410147. The reversal of 3260410144 is 4410140623.

It can be written as a sum of positive squares in 6 ways, for example, as 1708995600 + 1551414544 = 41340^2 + 39388^2 .

It is not an unprimeable number, because it can be changed into a prime (3260410147) 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, 262114 + ... + 274270.

Almost surely, 23260410144 is an apocalyptic number.

3260410144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3260410144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3527218170).

3260410144 is an abundant number, since it is smaller than the sum of its proper divisors (3794026196).

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

3260410144 is a wasteful number, since it uses less digits than its factorization.

3260410144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12230 (or 12205 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 3260410144 is about 57100.0012609457. The cubic root of 3260410144 is about 1482.8278875906.

Adding to 3260410144 its reverse (4410140623), we get a palindrome (7670550767).

The spelling of 3260410144 in words is "three billion, two hundred sixty million, four hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 29 32 34 58 68 116 136 232 272 289 464 493 544 578 928 986 1156 1972 2312 3944 4624 7888 8381 9248 12157 15776 16762 24314 33524 48628 67048 97256 134096 194512 206669 268192 352553 389024 413338 705106 826676 1410212 1653352 2820424 3306704 3513373 5640848 5993401 6613408 7026746 11281696 11986802 14053492 23973604 28106984 47947208 56213968 95894416 101887817 112427936 191788832 203775634 407551268 815102536 1630205072 3260410144