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234434144 = 25729151239
BaseRepresentation
bin11011111100100…
…10111001100000
3121100010111012002
431332102321200
5440003343034
635132423132
75544441320
oct1576227140
9540114162
10234434144
1111037192a
1266617aa8
1339752639
14231c7280
15158abe7e
hexdf92e60

234434144 has 96 divisors (see below), whose sum is σ = 551577600. Its totient is φ = 95961600.

The previous prime is 234434129. The next prime is 234434149. The reversal of 234434144 is 441434432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234434149) 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, 980777 + ... + 981015.

It is an arithmetic number, because the mean of its divisors is an integer number (5745600).

Almost surely, 2234434144 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 234434144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275788800).

234434144 is an abundant number, since it is smaller than the sum of its proper divisors (317143456).

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

234434144 is a wasteful number, since it uses less digits than its factorization.

234434144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 428 counting only the distinct ones).

The product of its digits is 18432, while the sum is 29.

The square root of 234434144 is about 15311.2424055006. The cubic root of 234434144 is about 616.6048761397.

Adding to 234434144 its reverse (441434432), we get a palindrome (675868576).

The spelling of 234434144 in words is "two hundred thirty-four million, four hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 151 203 224 232 239 302 406 464 478 604 812 928 956 1057 1208 1624 1673 1912 2114 2416 3248 3346 3824 4228 4379 4832 6496 6692 6931 7648 8456 8758 13384 13862 16912 17516 26768 27724 30653 33824 35032 36089 48517 53536 55448 61306 70064 72178 97034 110896 122612 140128 144356 194068 221792 245224 252623 288712 388136 490448 505246 577424 776272 980896 1010492 1046581 1154848 1552544 2020984 2093162 4041968 4186324 7326067 8083936 8372648 14652134 16745296 29304268 33490592 58608536 117217072 234434144