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2343886952 = 23112937103241
BaseRepresentation
bin1000101110110100…
…1110000001101000
320001100102210102212
42023231032001220
514300013340302
61024325344252
7112040465441
oct21355160150
96040383385
102343886952
11aa3076a60
12554b68088
132b479cc74
141834142c8
15dab90052
hex8bb4e068

2343886952 has 128 divisors (see below), whose sum is σ = 5164473600. Its totient is φ = 987033600.

The previous prime is 2343886933. The next prime is 2343886969. The reversal of 2343886952 is 2596883432.

It is a self number, because there is not a number n which added to its sum of digits gives 2343886952.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9725552 + ... + 9725792.

It is an arithmetic number, because the mean of its divisors is an integer number (40347450).

Almost surely, 22343886952 is an apocalyptic number.

2343886952 is a gapful number since it is divisible by the number (22) 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 2343886952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2582236800).

2343886952 is an abundant number, since it is smaller than the sum of its proper divisors (2820586648).

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

2343886952 is a wasteful number, since it uses less digits than its factorization.

2343886952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 423 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 50.

The square root of 2343886952 is about 48413.7062411049. The cubic root of 2343886952 is about 1328.3490835461.

The spelling of 2343886952 in words is "two billion, three hundred forty-three million, eight hundred eighty-six thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 22 29 37 44 58 74 88 103 116 148 206 232 241 296 319 407 412 482 638 814 824 964 1073 1133 1276 1628 1928 2146 2266 2552 2651 2987 3256 3811 4292 4532 5302 5974 6989 7622 8584 8917 9064 10604 11803 11948 13978 15244 17834 21208 23606 23896 24823 27956 30488 32857 35668 41921 47212 49646 55912 65714 71336 76879 83842 94424 98087 99292 110519 131428 153758 167684 196174 198584 221038 258593 262856 273053 307516 335368 392348 442076 517186 546106 615032 719867 784696 884152 918451 1034372 1092212 1215709 1439734 1836902 2068744 2184424 2431418 2844523 2879468 3673804 4862836 5689046 5758936 7347608 7918537 9725672 10102961 11378092 15837074 20205922 22756184 26635079 31674148 40411844 53270158 63348296 80823688 106540316 213080632 292985869 585971738 1171943476 2343886952