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3141338460 = 22351321119087
BaseRepresentation
bin1011101100111101…
…0000010101011100
322002220222112020220
42323033100111130
522413140312320
61235413441340
7140562636111
oct27317202534
98086875226
103141338460
111372227097
12738040250
133b0a6cb70
1421b2b8908
15135bb1e40
hexbb3d055c

3141338460 has 96 divisors (see below), whose sum is σ = 9517734912. Its totient is φ = 769547520.

The previous prime is 3141338371. The next prime is 3141338479. The reversal of 3141338460 is 648331413.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155037 + ... + 174123.

It is an arithmetic number, because the mean of its divisors is an integer number (99143072).

Almost surely, 23141338460 is an apocalyptic number.

3141338460 is a gapful number since it is divisible by the number (30) 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 3141338460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4758867456).

3141338460 is an abundant number, since it is smaller than the sum of its proper divisors (6376396452).

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

3141338460 is a wasteful number, since it uses less digits than its factorization.

3141338460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19323 (or 19321 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 3141338460 is about 56047.6445535403. The cubic root of 3141338460 is about 1464.5523853141.

Adding to 3141338460 its reverse (648331413), we get a palindrome (3789669873).

The spelling of 3141338460 in words is "three billion, one hundred forty-one million, three hundred thirty-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 211 260 390 422 633 780 844 1055 1266 2110 2532 2743 3165 4220 5486 6330 8229 10972 12660 13715 16458 19087 27430 32916 38174 41145 54860 57261 76348 82290 95435 114522 164580 190870 229044 248131 286305 381740 496262 572610 744393 992524 1145220 1240655 1488786 2481310 2977572 3721965 4027357 4962620 7443930 8054714 12082071 14887860 16109428 20136785 24164142 40273570 48328284 52355641 60410355 80547140 104711282 120820710 157066923 209422564 241641420 261778205 314133846 523556410 628267692 785334615 1047112820 1570669230 3141338460