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334023120 = 24325463921
BaseRepresentation
bin10011111010001…
…100100111010000
3212021112010120200
4103322030213100
51141002214440
653051135200
711164102224
oct2372144720
9767463520
10334023120
11161602572
1293a44500
1354281022
143250c784
151e4cec30
hex13e8c9d0

334023120 has 60 divisors (see below), whose sum is σ = 1121763396. Its totient is φ = 89072640.

The previous prime is 334023101. The next prime is 334023127. The reversal of 334023120 is 21320433.

334023120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 251285904 + 82737216 = 15852^2 + 9096^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×3340231202 = 223142889389068800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 334023093 and 334023102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334023127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231241 + ... + 232680.

Almost surely, 2334023120 is an apocalyptic number.

334023120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334023120 is an abundant number, since it is smaller than the sum of its proper divisors (787740276).

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

334023120 is a wasteful number, since it uses less digits than its factorization.

334023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463940 (or 463931 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 334023120 is about 18276.2994066085. The cubic root of 334023120 is about 693.8392161864.

Adding to 334023120 its reverse (21320433), we get a palindrome (355343553).

The spelling of 334023120 in words is "three hundred thirty-four million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 463921 927842 1391763 1855684 2319605 2783526 3711368 4175289 4639210 5567052 6958815 7422736 8350578 9278420 11134104 13917630 16701156 18556840 20876445 22268208 27835260 33402312 37113680 41752890 55670520 66804624 83505780 111341040 167011560 334023120