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385156068 = 2231121923607
BaseRepresentation
bin10110111101010…
…000001111100100
3222211201221210120
4112331100033210
51242044443233
6102115121540
712354525663
oct2675201744
9884657716
10385156068
11188457500
12a8ba32b0
1361a44ccb
143921cdda
1523c304b3
hex16f503e4

385156068 has 144 divisors (see below), whose sum is σ = 1086812160. Its totient is φ = 105589440.

The previous prime is 385156067. The next prime is 385156151. The reversal of 385156068 is 860651583.

It is not an unprimeable number, because it can be changed into a prime (385156061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 634221 + ... + 634827.

Almost surely, 2385156068 is an apocalyptic number.

385156068 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385156068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543406080).

385156068 is an abundant number, since it is smaller than the sum of its proper divisors (701656092).

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

385156068 is a wasteful number, since it uses less digits than its factorization.

385156068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 385156068 is about 19625.3934482853. The cubic root of 385156068 is about 727.5769212840.

The spelling of 385156068 in words is "three hundred eighty-five million, one hundred fifty-six thousand, sixty-eight".

Divisors: 1 2 3 4 6 11 12 19 22 23 33 38 44 46 57 66 69 76 92 114 121 132 138 209 228 242 253 276 363 418 437 484 506 607 627 726 759 836 874 1012 1214 1254 1311 1452 1518 1748 1821 2299 2428 2508 2622 2783 3036 3642 4598 4807 5244 5566 6677 6897 7284 8349 9196 9614 11132 11533 13354 13794 13961 14421 16698 19228 20031 23066 26708 27588 27922 28842 33396 34599 40062 41883 46132 52877 55844 57684 69198 73447 80124 83766 105754 126863 138396 146894 153571 158631 167532 211508 220341 253726 265259 293788 307142 317262 380589 440682 460713 507452 530518 614284 634524 761178 795777 881364 921426 1061036 1395493 1522356 1591554 1689281 1842852 2790986 2917849 3183108 3378562 4186479 5067843 5581972 5835698 6757124 8372958 8753547 10135686 11671396 16745916 17507094 20271372 32096339 35014188 64192678 96289017 128385356 192578034 385156068