Search a number
-
+
3123314152 = 237293759881
BaseRepresentation
bin1011101000101001…
…1111110111101000
322001200001210112221
42322022133313220
522344032023102
61233531243424
7140253506110
oct27212376750
98050053487
103123314152
111363036172
12731ba9574
133aa0cbaaa
14218b46040
15134301637
hexba29fde8

3123314152 has 128 divisors (see below), whose sum is σ = 7239456000. Its totient is φ = 1234759680.

The previous prime is 3123314101. The next prime is 3123314167. The reversal of 3123314152 is 2514133213.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 3544752 + ... + 3545632.

It is an arithmetic number, because the mean of its divisors is an integer number (56558250).

Almost surely, 23123314152 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 3123314152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619728000).

3123314152 is an abundant number, since it is smaller than the sum of its proper divisors (4116141848).

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

3123314152 is a wasteful number, since it uses less digits than its factorization.

3123314152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1015 counting only the distinct ones).

The product of its digits is 2160, while the sum is 25.

The square root of 3123314152 is about 55886.6187204057. The cubic root of 3123314152 is about 1461.7459178449.

Adding to 3123314152 its reverse (2514133213), we get a palindrome (5637447365).

The spelling of 3123314152 in words is "three billion, one hundred twenty-three million, three hundred fourteen thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 29 37 56 58 59 74 116 118 148 203 232 236 259 296 406 413 472 518 812 826 881 1036 1073 1624 1652 1711 1762 2072 2146 2183 3304 3422 3524 4292 4366 6167 6844 7048 7511 8584 8732 11977 12334 13688 15022 15281 17464 23954 24668 25549 30044 30562 32597 47908 49336 51098 51979 60088 61124 63307 65194 95816 102196 103958 122248 126614 130388 178843 204392 207916 228179 253228 260776 357686 363853 415832 443149 456358 506456 715372 727706 886298 912716 945313 1430744 1455412 1507391 1772596 1825432 1890626 1923223 2910824 3014782 3545192 3781252 3846446 6029564 6617191 7562504 7692892 10551737 12059128 13234382 13462561 15385784 21103474 26468764 26925122 42206948 52937528 53850244 55773467 84413896 107700488 111546934 223093868 390414269 446187736 780828538 1561657076 3123314152