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114349312 = 287115801
BaseRepresentation
bin1101101000011…
…01010100000000
321222011112202201
412310031110000
5213233134222
615202522544
72555644630
oct664152400
9258145681
10114349312
1159602370
1232366454
131a8c8c1c
14112886c0
15a08b427
hex6d0d500

114349312 has 72 divisors (see below), whose sum is σ = 284622912. Its totient is φ = 44544000.

The previous prime is 114349289. The next prime is 114349331. The reversal of 114349312 is 213943411.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16812 + ... + 22612.

It is an arithmetic number, because the mean of its divisors is an integer number (3953096).

Almost surely, 2114349312 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 114349312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142311456).

114349312 is an abundant number, since it is smaller than the sum of its proper divisors (170273600).

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

114349312 is an equidigital number, since it uses as much as digits as its factorization.

114349312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5835 (or 5821 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

The square root of 114349312 is about 10693.4237735161. The cubic root of 114349312 is about 485.3755011732.

The spelling of 114349312 in words is "one hundred fourteen million, three hundred forty-nine thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 616 704 896 1232 1408 1792 2464 2816 4928 5801 9856 11602 19712 23204 40607 46408 63811 81214 92816 127622 162428 185632 255244 324856 371264 446677 510488 649712 742528 893354 1020976 1299424 1485056 1786708 2041952 2598848 3573416 4083904 5197696 7146832 8167808 10395392 14293664 16335616 28587328 57174656 114349312