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2323106544 = 243116797677
BaseRepresentation
bin1000101001110111…
…1100101011110000
312222220100001002010
42022131330223300
514224203402134
61022304122520
7111366036243
oct21235745360
95886301063
102323106544
11a92373370
1254a006440
132b03a5575
1418076525a
15d8e37ce9
hex8a77caf0

2323106544 has 160 divisors (see below), whose sum is σ = 6723069696. Its totient is φ = 685301760.

The previous prime is 2323106473. The next prime is 2323106561. The reversal of 2323106544 is 4456013232.

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 31 ways as a sum of consecutive naturals, for example, 3431134 + ... + 3431810.

Almost surely, 22323106544 is an apocalyptic number.

2323106544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2323106544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361534848).

2323106544 is an abundant number, since it is smaller than the sum of its proper divisors (4399963152).

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

2323106544 is a wasteful number, since it uses less digits than its factorization.

2323106544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 2323106544 is about 48198.6155817779. The cubic root of 2323106544 is about 1324.4118037648.

Adding to 2323106544 its reverse (4456013232), we get a palindrome (6779119776).

The spelling of 2323106544 in words is "two billion, three hundred twenty-three million, one hundred six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 67 88 97 132 134 176 194 201 264 268 291 388 402 528 536 582 677 737 776 804 1067 1072 1164 1354 1474 1552 1608 2031 2134 2211 2328 2708 2948 3201 3216 4062 4268 4422 4656 5416 5896 6402 6499 7447 8124 8536 8844 10832 11792 12804 12998 14894 16248 17072 17688 19497 22341 25608 25996 29788 32496 35376 38994 44682 45359 51216 51992 59576 65669 71489 77988 89364 90718 103984 119152 131338 136077 142978 155976 178728 181436 197007 214467 262676 272154 285956 311952 357456 362872 394014 428934 498949 525352 544308 571912 722359 725744 788028 857868 997898 1050704 1088616 1143824 1444718 1496847 1576056 1715736 1995796 2167077 2177232 2889436 2993694 3152112 3431472 3991592 4334154 4399823 5778872 5987388 7983184 8668308 8799646 11557744 11974776 13199469 17336616 17599292 23949552 26398938 34673232 35198584 48398053 52797876 70397168 96796106 105595752 145194159 193592212 211191504 290388318 387184424 580776636 774368848 1161553272 2323106544