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2341326624 = 253721338287
BaseRepresentation
bin1000101110001101…
…1100111100100000
320001011121201022220
42023203130330200
514243334422444
61024154431040
7112006643100
oct21343347440
96034551286
102341326624
11aa168838a
12554132480
132b40b4790
14182d49200
15da836619
hex8b8dcf20

2341326624 has 144 divisors (see below), whose sum is σ = 7699563648. Its totient is φ = 617476608.

The previous prime is 2341326619. The next prime is 2341326707. The reversal of 2341326624 is 4266231432.

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 23 ways as a sum of consecutive naturals, for example, 42009 + ... + 80295.

It is an arithmetic number, because the mean of its divisors is an integer number (53469192).

Almost surely, 22341326624 is an apocalyptic number.

2341326624 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 2341326624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3849781824).

2341326624 is an abundant number, since it is smaller than the sum of its proper divisors (5358237024).

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

2341326624 is a wasteful number, since it uses less digits than its factorization.

2341326624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38327 (or 38312 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 2341326624 is about 48387.2568348320. The cubic root of 2341326624 is about 1327.8652364821.

The spelling of 2341326624 in words is "two billion, three hundred forty-one million, three hundred twenty-six thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 78 84 91 96 98 104 112 147 156 168 182 196 208 224 273 294 312 336 364 392 416 546 588 624 637 672 728 784 1092 1176 1248 1274 1456 1568 1911 2184 2352 2548 2912 3822 4368 4704 5096 7644 8736 10192 15288 20384 30576 38287 61152 76574 114861 153148 229722 268009 306296 459444 497731 536018 612592 804027 918888 995462 1072036 1225184 1493193 1608054 1837776 1876063 1990924 2144072 2986386 3216108 3484117 3675552 3752126 3981848 4288144 5628189 5972772 6432216 6968234 7504252 7963696 8576288 10452351 11256378 11945544 12864432 13936468 15008504 15927392 20904702 22512756 23891088 24388819 25728864 27872936 30017008 41809404 45025512 47782176 48777638 55745872 60034016 73166457 83618808 90051024 97555276 111491744 146332914 167237616 180102048 195110552 292665828 334475232 390221104 585331656 780442208 1170663312 2341326624