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114352434 = 23271496091
BaseRepresentation
bin1101101000011…
…10000100110010
321222011201001100
412310032010302
5213233234214
615202545230
72555660010
oct664160462
9258151040
10114352434
1159604749
1232368216
131a8ca481
14112898b0
15a08c309
hex6d0e132

114352434 has 48 divisors (see below), whose sum is σ = 285105600. Its totient is φ = 32447520.

The previous prime is 114352409. The next prime is 114352463. The reversal of 114352434 is 434253411.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 114352398 and 114352407.

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, 15729 + ... + 21819.

It is an arithmetic number, because the mean of its divisors is an integer number (5939700).

Almost surely, 2114352434 is an apocalyptic number.

114352434 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 114352434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142552800).

114352434 is an abundant number, since it is smaller than the sum of its proper divisors (170753166).

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

114352434 is a wasteful number, since it uses less digits than its factorization.

114352434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6255 (or 6252 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 114352434 is about 10693.5697500881. The cubic root of 114352434 is about 485.3799184233.

The spelling of 114352434 in words is "one hundred fourteen million, three hundred fifty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 149 298 447 894 1043 1341 2086 2682 3129 6091 6258 9387 12182 18273 18774 36546 42637 54819 85274 109638 127911 255822 383733 767466 907559 1815118 2722677 5445354 6352913 8168031 12705826 16336062 19058739 38117478 57176217 114352434