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114350436 = 223219473557
BaseRepresentation
bin1101101000011…
…01100101100100
321222011121022100
412310031211210
5213233203221
615202532100
72555651124
oct664154544
9258147270
10114350436
11596031a2
1232367030
131a8c95a5
1411288c84
15a08b926
hex6d0d964

114350436 has 72 divisors (see below), whose sum is σ = 310826880. Its totient is φ = 35332416.

The previous prime is 114350407. The next prime is 114350443. The reversal of 114350436 is 634053411.

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, 30370 + ... + 33926.

It is an arithmetic number, because the mean of its divisors is an integer number (4317040).

Almost surely, 2114350436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114350436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155413440).

114350436 is an abundant number, since it is smaller than the sum of its proper divisors (196476444).

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

114350436 is a wasteful number, since it uses less digits than its factorization.

114350436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3633 (or 3628 counting only the distinct ones).

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

The square root of 114350436 is about 10693.4763290522. The cubic root of 114350436 is about 485.3770915057.

The spelling of 114350436 in words is "one hundred fourteen million, three hundred fifty thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 47 57 76 94 114 141 171 188 228 282 342 423 564 684 846 893 1692 1786 2679 3557 3572 5358 7114 8037 10671 10716 14228 16074 21342 32013 32148 42684 64026 67583 128052 135166 167179 202749 270332 334358 405498 501537 608247 668716 810996 1003074 1216494 1504611 2006148 2432988 3009222 3176401 6018444 6352802 9529203 12705604 19058406 28587609 38116812 57175218 114350436