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2314443684 = 223737731012
BaseRepresentation
bin1000100111110011…
…1001101110100100
312222022000220212110
42021330321232210
514214444144214
61021354321020
7111232306140
oct21174715644
95868026773
102314443684
11a88496883
12547129170
132ab661507
1417d54c220
15d82c6159
hex89f39ba4

2314443684 has 144 divisors (see below), whose sum is σ = 6489736064. Its totient is φ = 628300800.

The previous prime is 2314443673. The next prime is 2314443707. The reversal of 2314443684 is 4863444132.

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, 22915234 + ... + 22915334.

Almost surely, 22314443684 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 2314443684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3244868032).

2314443684 is an abundant number, since it is smaller than the sum of its proper divisors (4175292380).

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

2314443684 is a wasteful number, since it uses less digits than its factorization.

2314443684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 223 counting only the distinct ones).

The product of its digits is 221184, while the sum is 39.

The square root of 2314443684 is about 48108.6653732984. The cubic root of 2314443684 is about 1322.7635101815.

The spelling of 2314443684 in words is "two billion, three hundred fourteen million, four hundred forty-three thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 73 74 84 101 111 146 148 202 219 222 259 292 303 404 438 444 511 518 606 707 777 876 1022 1036 1212 1414 1533 1554 2044 2121 2701 2828 3066 3108 3737 4242 5402 6132 7373 7474 8103 8484 10201 10804 11211 14746 14948 16206 18907 20402 22119 22422 26159 29492 30603 32412 37814 40804 44238 44844 51611 52318 56721 61206 71407 75628 78477 88476 103222 104636 113442 122412 142814 154833 156954 206444 214221 226884 272801 285628 309666 313908 377437 428442 545602 619332 744673 754874 818403 856884 1091204 1132311 1489346 1509748 1636806 1909607 2234019 2264622 2642059 2978692 3273612 3819214 4468038 4529244 5212711 5284118 5728821 7638428 7926177 8936076 10425422 10568236 11457642 15638133 15852354 20850844 22915284 27552901 31276266 31704708 55105802 62552532 82658703 110211604 165317406 192870307 330634812 385740614 578610921 771481228 1157221842 2314443684