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842423400 = 23325271337139
BaseRepresentation
bin110010001101100…
…101110001101000
32011201011112122200
4302031211301220
53211130022100
6215332020200
726606323620
oct6215456150
92151145580
10842423400
113a2587195
121b6161660
131056b77b0
147dc4d880
154de56e00
hex32365c68

842423400 has 576 divisors, whose sum is σ = 3601852800. Its totient is φ = 171694080.

The previous prime is 842423399. The next prime is 842423401. The reversal of 842423400 is 4324248.

It is a happy number.

842423400 is a `hidden beast` number, since 8 + 424 + 234 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (842423399) and next prime (842423401).

It is not an unprimeable number, because it can be changed into a prime (842423401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6060531 + ... + 6060669.

Almost surely, 2842423400 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 842423400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800926400).

842423400 is an abundant number, since it is smaller than the sum of its proper divisors (2759429400).

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

842423400 is a wasteful number, since it uses less digits than its factorization.

842423400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 842423400 is about 29024.5310039628. The cubic root of 842423400 is about 944.4452946808.

Adding to 842423400 its reverse (4324248), we get a palindrome (846747648).

It can be divided in two parts, 8424 and 23400, that multiplied together give a square (197121600 = 140402).

The spelling of 842423400 in words is "eight hundred forty-two million, four hundred twenty-three thousand, four hundred".