Search a number
-
+
3131534064 = 24361289197
BaseRepresentation
bin1011101010100111…
…0110101011110000
322002020112102011010
42322221312223300
522403133042224
61234423350520
7140413412631
oct27251665360
98066472133
103131534064
11136773a98a
127348b2440
133aba19349
14219c85888
15134dc6e29
hexbaa76af0

3131534064 has 120 divisors (see below), whose sum is σ = 8359219440. Its totient is φ = 1010042880.

The previous prime is 3131534059. The next prime is 3131534093. The reversal of 3131534064 is 4604351313.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15896014 + ... + 15896210.

It is an arithmetic number, because the mean of its divisors is an integer number (69660162).

Almost surely, 23131534064 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 3131534064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4179609720).

3131534064 is an abundant number, since it is smaller than the sum of its proper divisors (5227685376).

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

3131534064 is a wasteful number, since it uses less digits than its factorization.

3131534064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 3131534064 is about 55960.1113651501. Note that the first 3 decimals coincide. The cubic root of 3131534064 is about 1463.0271314228.

Adding to 3131534064 its reverse (4604351313), we get a palindrome (7735885377).

The spelling of 3131534064 in words is "three billion, one hundred thirty-one million, five hundred thirty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 89 122 178 183 197 244 267 356 366 394 488 534 591 712 732 788 976 1068 1182 1424 1464 1576 2136 2364 2928 3152 3721 4272 4728 5429 7442 9456 10858 11163 12017 14884 16287 17533 21716 22326 24034 29768 32574 35066 36051 43432 44652 48068 52599 59536 65148 70132 72102 86864 89304 96136 105198 130296 140264 144204 178608 192272 210396 260592 280528 288408 331169 420792 576816 662338 733037 841584 993507 1069513 1324676 1466074 1987014 2139026 2199111 2649352 2932148 3208539 3974028 4278052 4398222 5298704 5864296 6417078 7948056 8556104 8796444 11728592 12834156 15896112 17112208 17592888 25668312 35185776 51336624 65240293 130480586 195720879 260961172 391441758 521922344 782883516 1043844688 1565767032 3131534064