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307991424 = 27313103599
BaseRepresentation
bin10010010110111…
…001001110000000
3210110112120210210
4102112321032000
51112321211144
650321154120
710426612116
oct2226711600
9713476723
10307991424
11148942574
128718b940
134ba68360
142cc93ab6
151c08bab9
hex125b9380

307991424 has 128 divisors (see below), whose sum is σ = 891072000. Its totient is φ = 93689856.

The previous prime is 307991399. The next prime is 307991443. The reversal of 307991424 is 424199703.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 513877 + ... + 514475.

It is an arithmetic number, because the mean of its divisors is an integer number (6961500).

Almost surely, 2307991424 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 307991424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445536000).

307991424 is an abundant number, since it is smaller than the sum of its proper divisors (583080576).

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

307991424 is a wasteful number, since it uses less digits than its factorization.

307991424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 307991424 is about 17549.6844416075. The cubic root of 307991424 is about 675.3250736008.

It can be divided in two parts, 30799 and 1424, that added together give a palindrome (32223).

The spelling of 307991424 in words is "three hundred seven million, nine hundred ninety-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 103 104 128 156 192 206 208 309 312 384 412 416 599 618 624 824 832 1198 1236 1248 1339 1648 1664 1797 2396 2472 2496 2678 3296 3594 4017 4792 4944 4992 5356 6592 7188 7787 8034 9584 9888 10712 13184 14376 15574 16068 19168 19776 21424 23361 28752 31148 32136 38336 39552 42848 46722 57504 61697 62296 64272 76672 85696 93444 115008 123394 124592 128544 171392 185091 186888 230016 246788 249184 257088 370182 373776 493576 498368 514176 740364 747552 802061 987152 996736 1480728 1495104 1604122 1974304 2406183 2961456 2990208 3208244 3948608 4812366 5922912 6416488 7897216 9624732 11845824 12832976 19249464 23691648 25665952 38498928 51331904 76997856 102663808 153995712 307991424