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168429366 = 23272434441
BaseRepresentation
bin10100000101000…
…00011100110110
3102201221002122200
422002200130312
5321104214431
624414005330
74113424500
oct1202403466
9381832580
10168429366
118708a526
12484a6846
1328b82461
1418524d70
15ebbeee6
hexa0a0736

168429366 has 72 divisors (see below), whose sum is σ = 434480904. Its totient is φ = 46992960.

The previous prime is 168429347. The next prime is 168429377. The reversal of 168429366 is 663924861.

168429366 is a `hidden beast` number, since 168 + 429 + 3 + 66 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35706 + ... + 40146.

It is an arithmetic number, because the mean of its divisors is an integer number (6034457).

Almost surely, 2168429366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168429366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217240452).

168429366 is an abundant number, since it is smaller than the sum of its proper divisors (266051538).

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

168429366 is a wasteful number, since it uses less digits than its factorization.

168429366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4506 (or 4496 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 168429366 is about 12978.0339805380. The cubic root of 168429366 is about 552.2545100770.

The spelling of 168429366 in words is "one hundred sixty-eight million, four hundred twenty-nine thousand, three hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 49 63 86 98 126 129 147 258 294 301 387 441 602 774 882 903 1806 2107 2709 4214 4441 5418 6321 8882 12642 13323 18963 26646 31087 37926 39969 62174 79938 93261 186522 190963 217609 279783 381926 435218 559566 572889 652827 1145778 1305654 1336741 1718667 1958481 2673482 3437334 3916962 4010223 8020446 9357187 12030669 18714374 24061338 28071561 56143122 84214683 168429366