Search a number
-
+
114544304 = 24737131211
BaseRepresentation
bin1101101001111…
…00111010110000
321222112110020122
412310330322300
5213310404204
615211025412
72560416260
oct664747260
9258473218
10114544304
1159725916
123243b268
131a9668c4
14112d97a0
15a0c90be
hex6d3ceb0

114544304 has 80 divisors (see below), whose sum is σ = 263721216. Its totient is φ = 47174400.

The previous prime is 114544291. The next prime is 114544337. The reversal of 114544304 is 403445411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 542759 + ... + 542969.

Almost surely, 2114544304 is an apocalyptic number.

114544304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114544304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131860608).

114544304 is an abundant number, since it is smaller than the sum of its proper divisors (149176912).

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

114544304 is a wasteful number, since it uses less digits than its factorization.

114544304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 114544304 is about 10702.5372692647. The cubic root of 114544304 is about 485.6512369637.

Adding to 114544304 its reverse (403445411), we get a palindrome (517989715).

The spelling of 114544304 in words is "one hundred fourteen million, five hundred forty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 131 148 211 259 262 296 422 518 524 592 844 917 1036 1048 1477 1688 1834 2072 2096 2954 3376 3668 4144 4847 5908 7336 7807 9694 11816 14672 15614 19388 23632 27641 31228 33929 38776 54649 55282 62456 67858 77552 109298 110564 124912 135716 193487 218596 221128 271432 386974 437192 442256 542864 773948 874384 1022717 1547896 2045434 3095792 4090868 7159019 8181736 14318038 16363472 28636076 57272152 114544304