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2323764324 = 2232759732141
BaseRepresentation
bin1000101010000001…
…1101010001100100
312222221120110101100
42022200131101210
514224340424244
61022330200100
7111404446050
oct21240352144
95887513340
102323764324
11a92782592
1254a283030
132b0575a9b
14180896c60
15d9017b69
hex8a81d464

2323764324 has 144 divisors (see below), whose sum is σ = 6923629440. Its totient is φ = 643438080.

The previous prime is 2323764307. The next prime is 2323764409. The reversal of 2323764324 is 4234673232.

2323764324 is a `hidden beast` number, since 2 + 3 + 2 + 3 + 7 + 643 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1084294 + ... + 1086434.

It is an arithmetic number, because the mean of its divisors is an integer number (48080760).

Almost surely, 22323764324 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 2323764324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3461814720).

2323764324 is an abundant number, since it is smaller than the sum of its proper divisors (4599865116).

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

2323764324 is a wasteful number, since it uses less digits than its factorization.

2323764324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2290 (or 2285 counting only the distinct ones).

The product of its digits is 145152, while the sum is 36.

The square root of 2323764324 is about 48205.4387387979. The cubic root of 2323764324 is about 1324.5367929218.

The spelling of 2323764324 in words is "two billion, three hundred twenty-three million, seven hundred sixty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 59 63 73 84 118 126 146 177 219 236 252 292 354 413 438 511 531 657 708 826 876 1022 1062 1239 1314 1533 1652 2044 2124 2141 2478 2628 3066 3717 4282 4307 4599 4956 6132 6423 7434 8564 8614 9198 12846 12921 14868 14987 17228 18396 19269 25692 25842 29974 30149 38538 38763 44961 51684 59948 60298 77076 77526 89922 90447 120596 126319 134883 155052 156293 179844 180894 252638 269766 271341 312586 361788 378957 468879 505276 539532 542682 625172 757914 884233 937758 1085364 1094051 1136871 1406637 1515828 1768466 1875516 2188102 2273742 2652699 2813274 3282153 3536932 4376204 4547484 5305398 5626548 6564306 7958097 9221287 9846459 10610796 13128612 15916194 18442574 19692918 27663861 31832388 36885148 39385836 55327722 64549009 82991583 110655444 129098018 165983166 193647027 258196036 331966332 387294054 580941081 774588108 1161882162 2323764324