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3316097344 = 26728591231
BaseRepresentation
bin1100010110100111…
…1010000101000000
322120002211012101011
43011221322011000
523242410103334
61305015250304
7145114235200
oct30551720500
98502735334
103316097344
11145193a01a
12786679994
1340b02a2a1
142365aa400
151461d2564
hexc5a7a140

3316097344 has 84 divisors (see below), whose sum is σ = 7669865280. Its totient is φ = 1418376960.

The previous prime is 3316097339. The next prime is 3316097353. The reversal of 3316097344 is 4437906133.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3316097297 and 3316097306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2693209 + ... + 2694439.

It is an arithmetic number, because the mean of its divisors is an integer number (91307920).

Almost surely, 23316097344 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 3316097344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3834932640).

3316097344 is an abundant number, since it is smaller than the sum of its proper divisors (4353767936).

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

3316097344 is a wasteful number, since it uses less digits than its factorization.

3316097344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 40.

The square root of 3316097344 is about 57585.5654135652. The cubic root of 3316097344 is about 1491.2224168040. Note that the first 3 decimals are identical.

The spelling of 3316097344 in words is "three billion, three hundred sixteen million, ninety-seven thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 859 1231 1568 1718 2462 3136 3436 4924 6013 6872 8617 9848 12026 13744 17234 19696 24052 27488 34468 39392 42091 48104 54976 60319 68936 78784 84182 96208 120638 137872 168364 192416 241276 275744 336728 384832 482552 551488 673456 965104 1057429 1346912 1930208 2114858 2693824 3860416 4229716 7402003 8459432 14804006 16918864 29608012 33837728 51814021 59216024 67675456 103628042 118432048 207256084 236864096 414512168 473728192 829024336 1658048672 3316097344