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354830112 = 25337134513
BaseRepresentation
bin10101001001100…
…100011100100000
3220201200020102000
4111021210130200
51211314030422
655113124000
711536002060
oct2511443440
9821606360
10354830112
1117232412a
129a9b9600
1358687860
14351a73a0
152123ecac
hex15264720

354830112 has 192 divisors, whose sum is σ = 1274031360. Its totient is φ = 93560832.

The previous prime is 354830101. The next prime is 354830117. The reversal of 354830112 is 211038453.

It is a happy number.

354830112 is a `hidden beast` number, since 3 + 548 + 3 + 0 + 112 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (354830117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76368 + ... + 80880.

It is an arithmetic number, because the mean of its divisors is an integer number (6635580).

Almost surely, 2354830112 is an apocalyptic number.

354830112 is a gapful number since it is divisible by the number (32) 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 354830112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637015680).

354830112 is an abundant number, since it is smaller than the sum of its proper divisors (919201248).

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

354830112 is a wasteful number, since it uses less digits than its factorization.

354830112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4552 (or 4538 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 354830112 is about 18836.9347824958. The cubic root of 354830112 is about 707.9569063113.

Adding to 354830112 its reverse (211038453), we get a palindrome (565868565).

The spelling of 354830112 in words is "three hundred fifty-four million, eight hundred thirty thousand, one hundred twelve".