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334454112 = 25321961121
BaseRepresentation
bin10011111011110…
…101110101100000
3212022100000210100
4103323311311200
51141110012422
653104302400
711200545606
oct2373656540
9768300710
10334454112
11161877363
1294011a00
13543a2255
14325c1876
151e5677ac
hex13ef5d60

334454112 has 72 divisors (see below), whose sum is σ = 1001178360. Its totient is φ = 105615360.

The previous prime is 334454111. The next prime is 334454143. The reversal of 334454112 is 211454433.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3344541122 = 223719106067417088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334454111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25089 + ... + 36032.

It is an arithmetic number, because the mean of its divisors is an integer number (13905255).

Almost surely, 2334454112 is an apocalyptic number.

334454112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

334454112 is an abundant number, since it is smaller than the sum of its proper divisors (666724248).

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

334454112 is a wasteful number, since it uses less digits than its factorization.

334454112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61156 (or 61145 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 334454112 is about 18288.0866139681. The cubic root of 334454112 is about 694.1375095363.

The spelling of 334454112 in words is "three hundred thirty-four million, four hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 61121 122242 183363 244484 366726 488968 550089 733452 977936 1100178 1161299 1466904 1955872 2200356 2322598 2933808 3483897 4400712 4645196 5867616 6967794 8801424 9290392 10451691 13935588 17602848 18580784 20903382 27871176 37161568 41806764 55742352 83613528 111484704 167227056 334454112