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540337336 = 23711979043
BaseRepresentation
bin100000001101001…
…110010010111000
31101122201222110221
4200031032102320
52101311243321
6125341145424
716250535340
oct4015162270
91348658427
10540337336
11258008490
12130b5b274
1387c39346
1451a95d20
1532684e41
hex2034e4b8

540337336 has 64 divisors (see below), whose sum is σ = 1276289280. Its totient is φ = 208327680.

The previous prime is 540337331. The next prime is 540337349. The reversal of 540337336 is 633733045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540337331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55231 + ... + 64273.

It is an arithmetic number, because the mean of its divisors is an integer number (19942020).

Almost surely, 2540337336 is an apocalyptic number.

540337336 is a gapful number since it is divisible by the number (56) 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 540337336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638144640).

540337336 is an abundant number, since it is smaller than the sum of its proper divisors (735951944).

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

540337336 is a wasteful number, since it uses less digits than its factorization.

540337336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9164 (or 9160 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 34.

The square root of 540337336 is about 23245.1572590938. The cubic root of 540337336 is about 814.4948183443.

The spelling of 540337336 in words is "five hundred forty million, three hundred thirty-seven thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 97 154 194 308 388 616 679 776 1067 1358 2134 2716 4268 5432 7469 8536 9043 14938 18086 29876 36172 59752 63301 72344 99473 126602 198946 253204 397892 506408 696311 795784 877171 1392622 1754342 2785244 3508684 5570488 6140197 7017368 9648881 12280394 19297762 24560788 38595524 49121576 67542167 77191048 135084334 270168668 540337336