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385402836 = 2237213127397
BaseRepresentation
bin10110111110001…
…100011111010100
3222212012111022010
4112332030133110
51242130342321
6102124304220
712356604300
oct2676143724
9885174263
10385402836
11188605945
12a90a2070
1361b00420
1439284d00
1523c7d676
hex16f8c7d4

385402836 has 144 divisors (see below), whose sum is σ = 1138292736. Its totient is φ = 100590336.

The previous prime is 385402817. The next prime is 385402861. The reversal of 385402836 is 638204583.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 385402794 and 385402803.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 970590 + ... + 970986.

Almost surely, 2385402836 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 385402836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569146368).

385402836 is an abundant number, since it is smaller than the sum of its proper divisors (752889900).

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

385402836 is a wasteful number, since it uses less digits than its factorization.

385402836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 385402836 is about 19631.6793983602. The cubic root of 385402836 is about 727.7322733488.

The spelling of 385402836 in words is "three hundred eighty-five million, four hundred two thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 127 147 156 182 196 254 273 294 364 381 397 508 546 588 637 762 794 889 1092 1191 1274 1524 1588 1651 1778 1911 2382 2548 2667 2779 3302 3556 3822 4764 4953 5161 5334 5558 6223 6604 7644 8337 9906 10322 10668 11116 11557 12446 15483 16674 18669 19453 19812 20644 23114 24892 30966 33348 34671 36127 37338 38906 46228 50419 58359 61932 69342 72254 74676 77812 80899 100838 108381 116718 138684 144508 151257 161798 201676 216762 233436 242697 252889 302514 323596 352933 433524 485394 505778 605028 655447 705866 758667 970788 1011556 1058799 1310894 1411732 1517334 1966341 2117598 2470531 2621788 3034668 3932682 4235196 4588129 4941062 7411593 7865364 9176258 9882124 13764387 14823186 18352516 27528774 29646372 32116903 55057548 64233806 96350709 128467612 192701418 385402836