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540304104 = 233294783199
BaseRepresentation
bin100000001101000…
…110001011101000
31101122200021220010
4200031012023220
52101304212404
6125340331520
716250336424
oct4015061350
91348607803
10540304104
11257a9551a
12130b43ba0
1387c27192
1451a87b84
153267a189
hex203462e8

540304104 has 128 divisors (see below), whose sum is σ = 1451520000. Its totient is φ = 167295744.

The previous prime is 540304103. The next prime is 540304139. The reversal of 540304104 is 401403045.

It is not an unprimeable number, because it can be changed into a prime (540304103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2714997 + ... + 2715195.

It is an arithmetic number, because the mean of its divisors is an integer number (11340000).

Almost surely, 2540304104 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 540304104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725760000).

540304104 is an abundant number, since it is smaller than the sum of its proper divisors (911215896).

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

540304104 is a wasteful number, since it uses less digits than its factorization.

540304104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 540304104 is about 23244.4424325472. The cubic root of 540304104 is about 814.4781202281.

Adding to 540304104 its reverse (401403045), we get a palindrome (941707149).

The spelling of 540304104 in words is "five hundred forty million, three hundred four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 29 47 58 83 87 94 116 141 166 174 188 199 232 249 282 332 348 376 398 498 564 597 664 696 796 996 1128 1194 1363 1592 1992 2388 2407 2726 3901 4089 4776 4814 5452 5771 7221 7802 8178 9353 9628 10904 11542 11703 14442 15604 16356 16517 17313 18706 19256 23084 23406 28059 28884 31208 32712 33034 34626 37412 46168 46812 49551 56118 57768 66068 69252 74824 93624 99102 112236 113129 132136 138504 198204 224472 226258 271237 339387 396408 452516 478993 542474 678774 776299 813711 905032 957986 1084948 1357548 1436979 1552598 1627422 1915972 2169896 2328897 2715096 2873958 3105196 3254844 3831944 4657794 5747916 6210392 6509688 9315588 11495832 18631176 22512671 45025342 67538013 90050684 135076026 180101368 270152052 540304104