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54368340 = 223513431621
BaseRepresentation
bin1100111101100…
…1100001010100
310210022012100020
43033121201110
5102404241330
65221145140
71230060165
oct317314124
9123265306
1054368340
1128764814
121625b1b0
13b357820
14731376c
154b8e210
hex33d9854

54368340 has 96 divisors (see below), whose sum is σ = 167857536. Its totient is φ = 13063680.

The previous prime is 54368339. The next prime is 54368381. The reversal of 54368340 is 4386345.

54368340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32730 + ... + 34350.

It is an arithmetic number, because the mean of its divisors is an integer number (1748516).

Almost surely, 254368340 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 54368340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83928768).

54368340 is an abundant number, since it is smaller than the sum of its proper divisors (113489196).

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

54368340 is a wasteful number, since it uses less digits than its factorization.

54368340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 54368340 is about 7373.4889977540. The cubic root of 54368340 is about 378.8337744521.

The spelling of 54368340 in words is "fifty-four million, three hundred sixty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 43 52 60 65 78 86 129 130 156 172 195 215 258 260 390 430 516 559 645 780 860 1118 1290 1621 1677 2236 2580 2795 3242 3354 4863 5590 6484 6708 8105 8385 9726 11180 16210 16770 19452 21073 24315 32420 33540 42146 48630 63219 69703 84292 97260 105365 126438 139406 209109 210730 252876 278812 316095 348515 418218 421460 632190 697030 836436 906139 1045545 1264380 1394060 1812278 2091090 2718417 3624556 4182180 4530695 5436834 9061390 10873668 13592085 18122780 27184170 54368340