Search a number
-
+
114403296 = 2537170243
BaseRepresentation
bin1101101000110…
…10011111100000
321222021021211010
412310122133200
5213241401141
615204020520
72556261210
oct664323740
9258237733
10114403296
1159639987
1232391740
131a917677
14112a0240
15a09c416
hex6d1a7e0

114403296 has 48 divisors (see below), whose sum is σ = 343211904. Its totient is φ = 32686464.

The previous prime is 114403291. The next prime is 114403307. The reversal of 114403296 is 692304411.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1144032962 = 26176228271327232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114403291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84450 + ... + 85793.

It is an arithmetic number, because the mean of its divisors is an integer number (7150248).

Almost surely, 2114403296 is an apocalyptic number.

114403296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114403296 is an abundant number, since it is smaller than the sum of its proper divisors (228808608).

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

114403296 is a wasteful number, since it uses less digits than its factorization.

114403296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170263 (or 170255 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 114403296 is about 10695.9476438509. The cubic root of 114403296 is about 485.4518706423.

The spelling of 114403296 in words is "one hundred fourteen million, four hundred three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 170243 340486 510729 680972 1021458 1191701 1361944 2042916 2383402 2723888 3575103 4085832 4766804 5447776 7150206 8171664 9533608 14300412 16343328 19067216 28600824 38134432 57201648 114403296