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334124120 = 2351117192351
BaseRepresentation
bin10011111010100…
…101010001011000
3212021201021010102
4103322211101120
51141013432440
653053234532
711165002541
oct2372452130
9767637112
10334124120
11161671440
1293a92a48
13542b7ca5
14325374c8
151e4eeb15
hex13ea5458

334124120 has 128 divisors (see below), whose sum is σ = 914457600. Its totient is φ = 108288000.

The previous prime is 334124117. The next prime is 334124143. The reversal of 334124120 is 21421433.

334124120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3341241202 = 223277855131548800, 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 = 334124092 and 334124101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140945 + ... + 143295.

It is an arithmetic number, because the mean of its divisors is an integer number (7144200).

Almost surely, 2334124120 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 334124120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457228800).

334124120 is an abundant number, since it is smaller than the sum of its proper divisors (580333480).

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

334124120 is a wasteful number, since it uses less digits than its factorization.

334124120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2409 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 334124120 is about 18279.0623391902. The cubic root of 334124120 is about 693.9091421831.

Adding to 334124120 its reverse (21421433), we get a palindrome (355545553).

The spelling of 334124120 in words is "three hundred thirty-four million, one hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 19 20 22 34 38 40 44 55 68 76 85 88 95 110 136 152 170 187 190 209 220 323 340 374 380 418 440 646 680 748 760 836 935 1045 1292 1496 1615 1672 1870 2090 2351 2584 3230 3553 3740 4180 4702 6460 7106 7480 8360 9404 11755 12920 14212 17765 18808 23510 25861 28424 35530 39967 44669 47020 51722 71060 79934 89338 94040 103444 129305 142120 159868 178676 199835 206888 223345 258610 319736 357352 399670 439637 446690 491359 517220 759373 799340 879274 893380 982718 1034440 1518746 1598680 1758548 1786760 1965436 2198185 2456795 3037492 3517096 3796865 3930872 4396370 4913590 6074984 7593730 8353103 8792740 9827180 15187460 16706206 17585480 19654360 30374920 33412412 41765515 66824824 83531030 167062060 334124120