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6840455328 = 2532723914197
BaseRepresentation
bin1100101111011100…
…10001000010100000
3122122201112010122100
412113232101002200
5103002124032303
63050434410400
7331340624310
oct62756210240
918581463570
106840455328
1129a0293373
1213aaa30a00
13850244805
1448c6a9440
152a08018a3
hex197b910a0

6840455328 has 144 divisors (see below), whose sum is σ = 22326071040. Its totient is φ = 1946101248.

The previous prime is 6840455299. The next prime is 6840455329. The reversal of 6840455328 is 8235540486.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (6840455329) 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, 474726 + ... + 488922.

It is an arithmetic number, because the mean of its divisors is an integer number (155042160).

Almost surely, 26840455328 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 6840455328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11163035520).

6840455328 is an abundant number, since it is smaller than the sum of its proper divisors (15485615712).

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

6840455328 is a wasteful number, since it uses less digits than its factorization.

6840455328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14459 (or 14448 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 6840455328 is about 82707.0452138148. The cubic root of 6840455328 is about 1898.2861117064.

The spelling of 6840455328 in words is "six billion, eight hundred forty million, four hundred fifty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 239 252 288 336 478 504 672 717 956 1008 1434 1673 1912 2016 2151 2868 3346 3824 4302 5019 5736 6692 7648 8604 10038 11472 13384 14197 15057 17208 20076 22944 26768 28394 30114 34416 40152 42591 53536 56788 60228 68832 80304 85182 99379 113576 120456 127773 160608 170364 198758 227152 240912 255546 298137 340728 397516 454304 481824 511092 596274 681456 795032 894411 1022184 1192548 1362912 1590064 1788822 2044368 2385096 3180128 3393083 3577644 4088736 4770192 6786166 7155288 9540384 10179249 13572332 14310576 20358498 23751581 27144664 28621152 30537747 40716996 47503162 54289328 61075494 71254743 81433992 95006324 108578656 122150988 142509486 162867984 190012648 213764229 244301976 285018972 325735968 380025296 427528458 488603952 570037944 760050592 855056916 977207904 1140075888 1710113832 2280151776 3420227664 6840455328