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334034120 = 23577915101
BaseRepresentation
bin10011111010001…
…111010011001000
3212021112200200002
4103322033103020
51141003042440
653051302132
711164146260
oct2372172310
9767480602
10334034120
1116160a862
1293a4a948
1354286034
14325127a0
151e4d3115
hex13e8f4c8

334034120 has 64 divisors (see below), whose sum is σ = 869875200. Its totient is φ = 113068800.

The previous prime is 334034089. The next prime is 334034137. The reversal of 334034120 is 21430433.

It is a super-2 number, since 2×3340341202 = 223157586648348800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 334034092 and 334034101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14570 + ... + 29670.

It is an arithmetic number, because the mean of its divisors is an integer number (13591800).

Almost surely, 2334034120 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 334034120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434937600).

334034120 is an abundant number, since it is smaller than the sum of its proper divisors (535841080).

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

334034120 is a wasteful number, since it uses less digits than its factorization.

334034120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15198 (or 15194 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 334034120 is about 18276.6003403259. The cubic root of 334034120 is about 693.8468325730.

Adding to 334034120 its reverse (21430433), we get a palindrome (355464553).

The spelling of 334034120 in words is "three hundred thirty-four million, thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 79 140 158 280 316 395 553 632 790 1106 1580 2212 2765 3160 4424 5530 11060 15101 22120 30202 60404 75505 105707 120808 151010 211414 302020 422828 528535 604040 845656 1057070 1192979 2114140 2385958 4228280 4771916 5964895 8350853 9543832 11929790 16701706 23859580 33403412 41754265 47719160 66806824 83508530 167017060 334034120