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3142234560 = 263510930029
BaseRepresentation
bin1011101101001010…
…1011000111000000
322002222200001110210
42323102223013000
522413403001220
61235444554120
7140603360463
oct27322530700
98088601423
103142234560
111372789373
127383b2940
133b0cc49ba
1421b46d2da
15135cdc6e0
hexbb4ab1c0

3142234560 has 112 divisors (see below), whose sum is σ = 10068458400. Its totient is φ = 830214144.

The previous prime is 3142234553. The next prime is 3142234591. The reversal of 3142234560 is 654322413.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 89626 + ... + 119654.

It is an arithmetic number, because the mean of its divisors is an integer number (89896950).

Almost surely, 23142234560 is an apocalyptic number.

3142234560 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 3142234560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5034229200).

3142234560 is an abundant number, since it is smaller than the sum of its proper divisors (6926223840).

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

3142234560 is a wasteful number, since it uses less digits than its factorization.

3142234560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30158 (or 30148 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 3142234560 is about 56055.6380750411. The cubic root of 3142234560 is about 1464.6916317572.

Adding to 3142234560 its reverse (654322413), we get a palindrome (3796556973).

The spelling of 3142234560 in words is "three billion, one hundred forty-two million, two hundred thirty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 109 120 160 192 218 240 320 327 436 480 545 654 872 960 1090 1308 1635 1744 2180 2616 3270 3488 4360 5232 6540 6976 8720 10464 13080 17440 20928 26160 30029 34880 52320 60058 90087 104640 120116 150145 180174 240232 300290 360348 450435 480464 600580 720696 900870 960928 1201160 1441392 1801740 1921856 2402320 2882784 3273161 3603480 4804640 5765568 6546322 7206960 9609280 9819483 13092644 14413920 16365805 19638966 26185288 28827840 32731610 39277932 49097415 52370576 65463220 78555864 98194830 104741152 130926440 157111728 196389660 209482304 261852880 314223456 392779320 523705760 628446912 785558640 1047411520 1571117280 3142234560