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542344410 = 2355832689
BaseRepresentation
bin100000010100111…
…000010011011010
31101210111221200000
4200110320103122
52102320010120
6125452153430
716303565016
oct4024702332
91353457600
10542344410
11259159423
12131768876
138848ca6a
1452059546
153292e990
hex205384da

542344410 has 96 divisors (see below), whose sum is σ = 1480489920. Its totient is φ = 142829568.

The previous prime is 542344381. The next prime is 542344459. The reversal of 542344410 is 14443245.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200346 + ... + 203034.

It is an arithmetic number, because the mean of its divisors is an integer number (15421770).

Almost surely, 2542344410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542344410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740244960).

542344410 is an abundant number, since it is smaller than the sum of its proper divisors (938145510).

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

542344410 is a wasteful number, since it uses less digits than its factorization.

542344410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2794 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 542344410 is about 23288.2891170648. The cubic root of 542344410 is about 815.5020480539.

Adding to 542344410 its reverse (14443245), we get a palindrome (556787655).

The spelling of 542344410 in words is "five hundred forty-two million, three hundred forty-four thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 83 90 135 162 166 243 249 270 405 415 486 498 747 810 830 1215 1245 1494 2241 2430 2490 2689 3735 4482 5378 6723 7470 8067 11205 13445 13446 16134 20169 22410 24201 26890 33615 40335 40338 48402 67230 72603 80670 100845 121005 145206 201690 217809 223187 242010 363015 435618 446374 653427 669561 726030 1089045 1115935 1306854 1339122 2008683 2178090 2231870 3267135 3347805 4017366 6026049 6534270 6695610 10043415 12052098 18078147 20086830 30130245 36156294 54234441 60260490 90390735 108468882 180781470 271172205 542344410