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234454000 = 24531110657
BaseRepresentation
bin11011111100101…
…11101111110000
3121100011111102111
431332113233300
5440010012000
635133055104
75544553234
oct1576275760
9540144374
10234454000
11110385840
1266627494
133975b6a1
14231d05c4
15158b2cba
hexdf97bf0

234454000 has 80 divisors (see below), whose sum is σ = 618505056. Its totient is φ = 85248000.

The previous prime is 234453959. The next prime is 234454007. The reversal of 234454000 is 454432.

It is a happy number.

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 (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234454007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16672 + ... + 27328.

Almost surely, 2234454000 is an apocalyptic number.

234454000 is a gapful number since it is divisible by the number (20) 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 234454000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309252528).

234454000 is an abundant number, since it is smaller than the sum of its proper divisors (384051056).

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

234454000 is a wasteful number, since it uses less digits than its factorization.

234454000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10691 (or 10675 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 234454000 is about 15311.8908042083. The cubic root of 234454000 is about 616.6222839578.

The spelling of 234454000 in words is "two hundred thirty-four million, four hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 10657 11000 21314 22000 42628 53285 85256 106570 117227 170512 213140 234454 266425 426280 468908 532850 586135 852560 937816 1065700 1172270 1332125 1875632 2131400 2344540 2664250 2930675 4262800 4689080 5328500 5861350 9378160 10657000 11722700 14653375 21314000 23445400 29306750 46890800 58613500 117227000 234454000