Search a number
-
+
3413441240 = 2351110772503
BaseRepresentation
bin1100101101110100…
…1111101011011000
322210212222210002122
43023131033223120
523442320104430
61322413520412
7150405525506
oct31335175330
98725883078
103413441240
1114a1886a20
127b31a3108
13425250b21
142454a9676
1514ea0eee5
hexcb74fad8

3413441240 has 64 divisors (see below), whose sum is σ = 8456866560. Its totient is φ = 1229633920.

The previous prime is 3413441167. The next prime is 3413441263. The reversal of 3413441240 is 421443143.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10829 + ... + 83331.

It is an arithmetic number, because the mean of its divisors is an integer number (132138540).

Almost surely, 23413441240 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 3413441240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4228433280).

3413441240 is an abundant number, since it is smaller than the sum of its proper divisors (5043425320).

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

3413441240 is a wasteful number, since it uses less digits than its factorization.

3413441240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72632 (or 72628 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 3413441240 is about 58424.6629429730. The cubic root of 3413441240 is about 1505.6735123020.

Adding to 3413441240 its reverse (421443143), we get a palindrome (3834884383).

The spelling of 3413441240 in words is "three billion, four hundred thirteen million, four hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 107 110 214 220 428 440 535 856 1070 1177 2140 2354 4280 4708 5885 9416 11770 23540 47080 72503 145006 290012 362515 580024 725030 797533 1450060 1595066 2900120 3190132 3987665 6380264 7757821 7975330 15515642 15950660 31031284 31901320 38789105 62062568 77578210 85336031 155156420 170672062 310312840 341344124 426680155 682688248 853360310 1706720620 3413441240