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540334320 = 24357330841
BaseRepresentation
bin100000001101001…
…101100011110000
31101122201211100020
4200031031203300
52101311144240
6125341123440
716250523501
oct4015154360
91348654306
10540334320
11258006199
12130b59580
1387c37b66
1451a94ba8
15326840d0
hex2034d8f0

540334320 has 80 divisors (see below), whose sum is σ = 1698037152. Its totient is φ = 142110720.

The previous prime is 540334313. The next prime is 540334339. The reversal of 540334320 is 23433045.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×5403343202 = 583922354739724800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2100 + ... + 32940.

Almost surely, 2540334320 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 540334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849018576).

540334320 is an abundant number, since it is smaller than the sum of its proper divisors (1157702832).

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

540334320 is a wasteful number, since it uses less digits than its factorization.

540334320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30930 (or 30924 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 540334320 is about 23245.0923852756. The cubic root of 540334320 is about 814.4933029200.

Adding to 540334320 its reverse (23433045), we get a palindrome (563767365).

The spelling of 540334320 in words is "five hundred forty million, three hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 292 365 438 584 730 876 1095 1168 1460 1752 2190 2920 3504 4380 5840 8760 17520 30841 61682 92523 123364 154205 185046 246728 308410 370092 462615 493456 616820 740184 925230 1233640 1480368 1850460 2251393 2467280 3700920 4502786 6754179 7401840 9005572 11256965 13508358 18011144 22513930 27016716 33770895 36022288 45027860 54033432 67541790 90055720 108066864 135083580 180111440 270167160 540334320