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868343808 = 213389397
BaseRepresentation
bin110011110000011…
…110000000000000
32020111221102202210
4303300132000000
53234244000213
6222055342120
730342541413
oct6360360000
92214842683
10868343808
11406180612
12202981940
1310ab91907
1483479b7a
15513770c3
hex33c1e000

868343808 has 112 divisors (see below), whose sum is σ = 2347356240. Its totient is φ = 285474816.

The previous prime is 868343807. The next prime is 868343809. The reversal of 868343808 is 808343868.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (868343807) and next prime (868343809).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868343803) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2187066 + ... + 2187462.

Almost surely, 2868343808 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 868343808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173678120).

868343808 is an abundant number, since it is smaller than the sum of its proper divisors (1479012432).

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

868343808 is an equidigital number, since it uses as much as digits as its factorization.

868343808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 868343808 is about 29467.6739496011. The cubic root of 868343808 is about 954.0341131128.

The spelling of 868343808 in words is "eight hundred sixty-eight million, three hundred forty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 256 267 356 384 397 512 534 712 768 794 1024 1068 1191 1424 1536 1588 2048 2136 2382 2848 3072 3176 4096 4272 4764 5696 6144 6352 8192 8544 9528 11392 12288 12704 17088 19056 22784 24576 25408 34176 35333 38112 45568 50816 68352 70666 76224 91136 101632 105999 136704 141332 152448 182272 203264 211998 273408 282664 304896 364544 406528 423996 546816 565328 609792 729088 813056 847992 1093632 1130656 1219584 1626112 1695984 2187264 2261312 2439168 3252224 3391968 4522624 4878336 6783936 9045248 9756672 13567872 18090496 27135744 36180992 54271488 72361984 108542976 144723968 217085952 289447936 434171904 868343808