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114077334 = 23731412137
BaseRepresentation
bin1101100110010…
…10111010010110
321221122201200110
412303022322112
5213200433314
615153023450
72553432660
oct663127226
9257581613
10114077334
1159436a98
1232254b86
131a8321a7
1411217530
15a035a59
hex6ccae96

114077334 has 64 divisors (see below), whose sum is σ = 275853312. Its totient is φ = 30758400.

The previous prime is 114077321. The next prime is 114077357. The reversal of 114077334 is 433770411.

It is a congruent number.

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, 52314 + ... + 54450.

It is an arithmetic number, because the mean of its divisors is an integer number (4310208).

Almost surely, 2114077334 is an apocalyptic number.

114077334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114077334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137926656).

114077334 is an abundant number, since it is smaller than the sum of its proper divisors (161775978).

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

114077334 is a wasteful number, since it uses less digits than its factorization.

114077334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2221.

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 114077334 is about 10680.6991344200. The cubic root of 114077334 is about 484.9903763988.

It can be divided in two parts, 114077 and 334, that added together give a palindrome (114411).

The spelling of 114077334 in words is "one hundred fourteen million, seventy-seven thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 31 41 42 62 82 93 123 186 217 246 287 434 574 651 861 1271 1302 1722 2137 2542 3813 4274 6411 7626 8897 12822 14959 17794 26691 29918 44877 53382 66247 87617 89754 132494 175234 198741 262851 397482 463729 525702 613319 927458 1226638 1391187 1839957 2716127 2782374 3679914 5432254 8148381 16296762 19012889 38025778 57038667 114077334