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542370384 = 24334912557
BaseRepresentation
bin100000010100111…
…110101001010000
31101210120021022000
4200110332221100
52102321323014
6125452514000
716304033523
oct4024765120
91353507260
10542370384
11259176996
1213177b900
138849b82a
1452064bba
1532937509
hex2053ea50

542370384 has 80 divisors (see below), whose sum is σ = 1560584640. Its totient is φ = 180351360.

The previous prime is 542370377. The next prime is 542370403. The reversal of 542370384 is 483073245.

It is a happy number.

542370384 is a `hidden beast` number, since 542 + 37 + 0 + 3 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 210834 + ... + 213390.

It is an arithmetic number, because the mean of its divisors is an integer number (19507308).

Almost surely, 2542370384 is an apocalyptic number.

542370384 is a gapful number since it is divisible by the number (54) 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 542370384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780292320).

542370384 is an abundant number, since it is smaller than the sum of its proper divisors (1018214256).

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

542370384 is a wasteful number, since it uses less digits than its factorization.

542370384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3065 (or 3053 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 542370384 is about 23288.8467726506. The cubic root of 542370384 is about 815.5150665415.

The spelling of 542370384 in words is "five hundred forty-two million, three hundred seventy thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 491 982 1473 1964 2557 2946 3928 4419 5114 5892 7671 7856 8838 10228 11784 13257 15342 17676 20456 23013 23568 26514 30684 35352 40912 46026 53028 61368 69039 70704 92052 106056 122736 138078 184104 212112 276156 368208 552312 1104624 1255487 2510974 3766461 5021948 7532922 10043896 11299383 15065844 20087792 22598766 30131688 33898149 45197532 60263376 67796298 90395064 135592596 180790128 271185192 542370384