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3344130460 = 2251124163073
BaseRepresentation
bin1100011101010011…
…0110000110011100
322122001120102120201
43013110312012130
523322044133320
61311500153244
7145604432326
oct30724660634
98561512521
103344130460
111466746790
12793b38824
13413a93c28
1423a1c6616
151488bd70a
hexc753619c

3344130460 has 48 divisors (see below), whose sum is σ = 7693009632. Its totient is φ = 1210982400.

The previous prime is 3344130451. The next prime is 3344130497. The reversal of 3344130460 is 640314433.

3344130460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33441304602 = 22366417066999623200, which contains 22 as substring.

It is a congruent number.

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, 21484 + ... + 84556.

It is an arithmetic number, because the mean of its divisors is an integer number (160271034).

Almost surely, 23344130460 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 3344130460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3846504816).

3344130460 is an abundant number, since it is smaller than the sum of its proper divisors (4348879172).

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

3344130460 is a wasteful number, since it uses less digits than its factorization.

3344130460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63334 (or 63332 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 3344130460 is about 57828.4571815642. The cubic root of 3344130460 is about 1495.4127203593.

Adding to 3344130460 its reverse (640314433), we get a palindrome (3984444893).

The spelling of 3344130460 in words is "three billion, three hundred forty-four million, one hundred thirty thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 241 482 964 1205 2410 2651 4820 5302 10604 13255 26510 53020 63073 126146 252292 315365 630730 693803 1261460 1387606 2775212 3469015 6938030 13876060 15200593 30401186 60802372 76002965 152005930 167206523 304011860 334413046 668826092 836032615 1672065230 3344130460