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114326352 = 24327293911
BaseRepresentation
bin1101101000001…
…11101101010000
321222010101021100
412310013231100
5213231420402
615202224400
72555520660
oct664075520
9258111240
10114326352
1159597098
1232355100
131a8bb63a
14112801a0
15a08471c
hex6d07b50

114326352 has 120 divisors (see below), whose sum is σ = 378368640. Its totient is φ = 31530240.

The previous prime is 114326299. The next prime is 114326369. The reversal of 114326352 is 253623411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27277 + ... + 31187.

It is an arithmetic number, because the mean of its divisors is an integer number (3153072).

Almost surely, 2114326352 is an apocalyptic number.

114326352 is a gapful number since it is divisible by the number (12) 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 114326352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189184320).

114326352 is an abundant number, since it is smaller than the sum of its proper divisors (264042288).

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

114326352 is a wasteful number, since it uses less digits than its factorization.

114326352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3961 (or 3952 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 114326352 is about 10692.3501626163. The cubic root of 114326352 is about 485.3430130971.

Adding to 114326352 its reverse (253623411), we get a palindrome (367949763).

It can be divided in two parts, 1143 and 26352, that added together give a triangular number (27495 = T234).

The spelling of 114326352 in words is "one hundred fourteen million, three hundred twenty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 36 42 48 56 58 63 72 84 87 112 116 126 144 168 174 203 232 252 261 336 348 406 464 504 522 609 696 812 1008 1044 1218 1392 1624 1827 2088 2436 3248 3654 3911 4176 4872 7308 7822 9744 11733 14616 15644 23466 27377 29232 31288 35199 46932 54754 62576 70398 82131 93864 109508 113419 140796 164262 187728 219016 226838 246393 281592 328524 340257 438032 453676 492786 563184 657048 680514 793933 907352 985572 1020771 1314096 1361028 1587866 1814704 1971144 2041542 2381799 2722056 3175732 3942288 4083084 4763598 5444112 6351464 7145397 8166168 9527196 12702928 14290794 16332336 19054392 28581588 38108784 57163176 114326352