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769344336 = 243241311419
BaseRepresentation
bin101101110110110…
…100001101010000
31222121122202000200
4231312310031100
53033423004321
6204201415200
725031214255
oct5566641520
91877582020
10769344336
11365302872
1219579a500
13c350b647
147426942c
154781dd26
hex2ddb4350

769344336 has 120 divisors (see below), whose sum is σ = 2217983040. Its totient is φ = 248793600.

The previous prime is 769344281. The next prime is 769344337. The reversal of 769344336 is 633443967.

769344336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 769344291 and 769344300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (769344337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1835935 + ... + 1836353.

It is an arithmetic number, because the mean of its divisors is an integer number (18483192).

Almost surely, 2769344336 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 769344336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108991520).

769344336 is an abundant number, since it is smaller than the sum of its proper divisors (1448638704).

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

769344336 is a wasteful number, since it uses less digits than its factorization.

769344336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 776 counting only the distinct ones).

The product of its digits is 979776, while the sum is 45.

The square root of 769344336 is about 27737.0570897491. The cubic root of 769344336 is about 916.3054161029.

The spelling of 769344336 in words is "seven hundred sixty-nine million, three hundred forty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 311 328 369 419 492 622 656 738 838 933 984 1244 1257 1476 1676 1866 1968 2488 2514 2799 2952 3352 3732 3771 4976 5028 5598 5904 6704 7464 7542 10056 11196 12751 14928 15084 17179 20112 22392 25502 30168 34358 38253 44784 51004 51537 60336 68716 76506 102008 103074 114759 130309 137432 153012 154611 204016 206148 229518 260618 274864 306024 309222 390927 412296 459036 521236 612048 618444 781854 824592 918072 1042472 1172781 1236888 1563708 1836144 2084944 2345562 2473776 3127416 4691124 5342669 6254832 9382248 10685338 16028007 18764496 21370676 32056014 42741352 48084021 64112028 85482704 96168042 128224056 192336084 256448112 384672168 769344336