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334334112 = 2537497521
BaseRepresentation
bin10011111011011…
…000100010100000
3212022002221011220
4103323120202200
51141042142422
653101535040
711166536010
oct2373304240
9768087156
10334334112
111617a5192
1293b74480
135435c748
143258dc40
151e541e5c
hex13ed88a0

334334112 has 48 divisors (see below), whose sum is σ = 1003004352. Its totient is φ = 95523840.

The previous prime is 334334111. The next prime is 334334113. The reversal of 334334112 is 211433433.

It is an interprime number because it is at equal distance from previous prime (334334111) and next prime (334334113).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3343341122 = 223558596893657088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (334334111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248089 + ... + 249432.

It is an arithmetic number, because the mean of its divisors is an integer number (20895924).

Almost surely, 2334334112 is an apocalyptic number.

334334112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

334334112 is an abundant number, since it is smaller than the sum of its proper divisors (668670240).

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

334334112 is a wasteful number, since it uses less digits than its factorization.

334334112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497541 (or 497533 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 334334112 is about 18284.8054952739. The cubic root of 334334112 is about 694.0544822368.

Adding to 334334112 its reverse (211433433), we get a palindrome (545767545).

The spelling of 334334112 in words is "three hundred thirty-four million, three hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 497521 995042 1492563 1990084 2985126 3482647 3980168 5970252 6965294 7960336 10447941 11940504 13930588 15920672 20895882 23881008 27861176 41791764 47762016 55722352 83583528 111444704 167167056 334334112