Search a number
-
+
114001344 = 263421991
BaseRepresentation
bin1101100101110…
…00010111000000
321221111212110000
412302320113000
5213141020334
615151240000
72552665302
oct662702700
9257455400
10114001344
1159394996
1232219000
131a806722
14111d7972
15a01d299
hex6cb85c0

114001344 has 70 divisors (see below), whose sum is σ = 337951064. Its totient is φ = 37998720.

The previous prime is 114001313. The next prime is 114001351. The reversal of 114001344 is 443100411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5812 + ... + 16179.

Almost surely, 2114001344 is an apocalyptic number.

It is an amenable number.

114001344 is an abundant number, since it is smaller than the sum of its proper divisors (223949720).

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

114001344 is an equidigital number, since it uses as much as digits as its factorization.

114001344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22015 (or 21996 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 114001344 is about 10677.1411904123. The cubic root of 114001344 is about 484.8826640728.

Adding to 114001344 its reverse (443100411), we get a palindrome (557101755).

The spelling of 114001344 in words is "one hundred fourteen million, one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 21991 43982 65973 87964 131946 175928 197919 263892 351856 395838 527784 593757 703712 791676 1055568 1187514 1407424 1583352 1781271 2111136 2375028 3166704 3562542 4222272 4750056 6333408 7125084 9500112 12666816 14250168 19000224 28500336 38000448 57000672 114001344