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3041521040 = 245413492657
BaseRepresentation
bin1011010101001001…
…1110110110010000
321211222011021111102
42311102132312100
522212112133130
61221450203532
7135241334165
oct26522366620
97758137442
103041521040
11132094a858
1270a7235a8
133961914bc
1420bd3406c
1512c046645
hexb549ed90

3041521040 has 80 divisors (see below), whose sum is σ = 7267503600. Its totient is φ = 1183088640.

The previous prime is 3041521037. The next prime is 3041521099. The reversal of 3041521040 is 401251403.

3041521040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 71707024 + 2969814016 = 8468^2 + 54496^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1143392 + ... + 1146048.

It is an arithmetic number, because the mean of its divisors is an integer number (90843795).

Almost surely, 23041521040 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 3041521040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3633751800).

3041521040 is an abundant number, since it is smaller than the sum of its proper divisors (4225982560).

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

3041521040 is a wasteful number, since it uses less digits than its factorization.

3041521040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3060 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 3041521040 is about 55149.9867633710. The cubic root of 3041521040 is about 1448.8728521476.

Adding to 3041521040 its reverse (401251403), we get a palindrome (3442772443).

The spelling of 3041521040 in words is "three billion, forty-one million, five hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 349 410 656 698 820 1396 1640 1745 2657 2792 3280 3490 5314 5584 6980 10628 13285 13960 14309 21256 26570 27920 28618 42512 53140 57236 71545 106280 108937 114472 143090 212560 217874 228944 286180 435748 544685 572360 871496 927293 1089370 1144720 1742992 1854586 2178740 3709172 4357480 4636465 7418344 8714960 9272930 14836688 18545860 37091720 38019013 74183440 76038026 152076052 190095065 304152104 380190130 608304208 760380260 1520760520 3041521040