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2504304 = 2433111731
BaseRepresentation
bin1001100011011001110000
311201020021000
421203121300
51120114204
6125402000
730200115
oct11433160
94636230
102504304
111460580
12a09300
13698b4a
1449290c
15347039
hex263670

2504304 has 160 divisors (see below), whose sum is σ = 8570880. Its totient is φ = 691200.

The previous prime is 2504297. The next prime is 2504317. The reversal of 2504304 is 4034052.

2504304 = T61 + T62 + ... + T247.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80769 + ... + 80799.

It is an arithmetic number, because the mean of its divisors is an integer number (53568).

22504304 is an apocalyptic number.

2504304 is a gapful number since it is divisible by the number (24) 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 2504304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285440).

2504304 is an abundant number, since it is smaller than the sum of its proper divisors (6066576).

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

2504304 is a wasteful number, since it uses less digits than its factorization.

2504304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2504304 is about 1582.4992890994. The cubic root of 2504304 is about 135.7987218659.

2504304 divided by its sum of digits (18) gives a triangular number (139128 = T527).

Adding to 2504304 its reverse (4034052), we get a palindrome (6538356).

It can be divided in two parts, 250 and 4304, that added together give a palindrome (4554).

The spelling of 2504304 in words is "two million, five hundred four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 31 33 34 36 44 48 51 54 62 66 68 72 88 93 99 102 108 124 132 136 144 153 176 186 187 198 204 216 248 264 272 279 297 306 341 372 374 396 408 432 459 496 527 528 558 561 594 612 682 744 748 792 816 837 918 1023 1054 1116 1122 1188 1224 1364 1488 1496 1581 1584 1674 1683 1836 2046 2108 2232 2244 2376 2448 2728 2992 3069 3162 3348 3366 3672 4092 4216 4464 4488 4743 4752 5049 5456 5797 6138 6324 6696 6732 7344 8184 8432 8976 9207 9486 10098 11594 12276 12648 13392 13464 14229 16368 17391 18414 18972 20196 23188 24552 25296 26928 28458 34782 36828 37944 40392 46376 49104 52173 56916 69564 73656 75888 80784 92752 104346 113832 139128 147312 156519 208692 227664 278256 313038 417384 626076 834768 1252152 2504304