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498234240 = 2734571373
BaseRepresentation
bin11101101100100…
…111001110000000
31021201111220220000
4131230213032000
52010021443430
6121234520000
715226630650
oct3554471600
91251456800
10498234240
11236270839
1211aa36000
137c2b747a
144a256360
152db19e60
hex1db27380

498234240 has 320 divisors, whose sum is σ = 2034948960. Its totient is φ = 113799168.

The previous prime is 498234199. The next prime is 498234299. The reversal of 498234240 is 42432894.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 498234195 and 498234204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 362194 + ... + 363566.

Almost surely, 2498234240 is an apocalyptic number.

498234240 is a gapful number since it is divisible by the number (40) 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 498234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017474480).

498234240 is an abundant number, since it is smaller than the sum of its proper divisors (1536714720).

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

498234240 is a wasteful number, since it uses less digits than its factorization.

498234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 498234240 is about 22321.1612601137. The cubic root of 498234240 is about 792.7651008671.

The spelling of 498234240 in words is "four hundred ninety-eight million, two hundred thirty-four thousand, two hundred forty".