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334354068 = 223443103233
BaseRepresentation
bin10011111011011…
…101011010010100
3212022010221120000
4103323131122110
51141043312233
653102211300
711166651126
oct2373353224
9768127500
10334354068
11161809184
1293b83b30
1354368859
1432597216
151e547d13
hex13edd694

334354068 has 120 divisors (see below), whose sum is σ = 906954048. Its totient is φ = 107339904.

The previous prime is 334354067. The next prime is 334354081. The reversal of 334354068 is 860453433.

It is a super-2 number, since 2×3343540682 = 223585285576297248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334354067) 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 39 ways as a sum of consecutive naturals, for example, 1434880 + ... + 1435112.

Almost surely, 2334354068 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 334354068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453477024).

334354068 is an abundant number, since it is smaller than the sum of its proper divisors (572599980).

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

334354068 is a wasteful number, since it uses less digits than its factorization.

334354068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 334354068 is about 18285.3511861271. The cubic root of 334354068 is about 694.0682910538.

The spelling of 334354068 in words is "three hundred thirty-four million, three hundred fifty-four thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 103 108 129 162 172 206 233 258 309 324 387 412 466 516 618 699 774 927 932 1161 1236 1398 1548 1854 2097 2322 2781 2796 3483 3708 4194 4429 4644 5562 6291 6966 8343 8388 8858 10019 11124 12582 13287 13932 16686 17716 18873 20038 23999 25164 26574 30057 33372 37746 39861 40076 47998 53148 60114 71997 75492 79722 90171 95996 119583 120228 143994 159444 180342 215991 239166 270513 287988 358749 360684 431982 478332 541026 647973 717498 811539 863964 1031957 1082052 1295946 1434996 1623078 1943919 2063914 2591892 3095871 3246156 3887838 4127828 6191742 7775676 9287613 12383484 18575226 27862839 37150452 55725678 83588517 111451356 167177034 334354068