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234223440 = 24351188721
BaseRepresentation
bin11011111010111…
…11011101010000
3121022201210011020
431331133131100
5434430122230
635124115440
75542603113
oct1575373520
9538653136
10234223440
111102385a0
1266535b80
13396aa769
142317057a
1515869810
hexdf5f750

234223440 has 80 divisors (see below), whose sum is σ = 792110016. Its totient is φ = 56780800.

The previous prime is 234223439. The next prime is 234223441. The reversal of 234223440 is 44322432.

234223440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (234223439) and next prime (234223441).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 234223440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234223441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41721 + ... + 47000.

Almost surely, 2234223440 is an apocalyptic number.

234223440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234223440 is an abundant number, since it is smaller than the sum of its proper divisors (557886576).

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

234223440 is a wasteful number, since it uses less digits than its factorization.

234223440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88748 (or 88742 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 234223440 is about 15304.3601630385. The cubic root of 234223440 is about 616.4200906894.

Adding to 234223440 its reverse (44322432), we get a palindrome (278545872).

It can be divided in two parts, 23422 and 3440, that added together give a palindrome (26862).

The spelling of 234223440 in words is "two hundred thirty-four million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 88721 177442 266163 354884 443605 532326 709768 887210 975931 1064652 1330815 1419536 1774420 1951862 2129304 2661630 2927793 3548840 3903724 4258608 4879655 5323260 5855586 7097680 7807448 9759310 10646520 11711172 14638965 15614896 19518620 21293040 23422344 29277930 39037240 46844688 58555860 78074480 117111720 234223440