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234234144 = 25326167199
BaseRepresentation
bin11011111011000…
…10000100100000
3121022202022211200
431331202010200
5434430443034
635124241200
75542646244
oct1575420440
9538668750
10234234144
11110245641
1266540200
13396b25b1
1423174424
151586ca99
hexdf62120

234234144 has 144 divisors (see below), whose sum is σ = 690580800. Its totient is φ = 75271680.

The previous prime is 234234127. The next prime is 234234163. The reversal of 234234144 is 441432432.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1176957 + ... + 1177155.

It is an arithmetic number, because the mean of its divisors is an integer number (4795700).

Almost surely, 2234234144 is an apocalyptic number.

234234144 is a gapful number since it is divisible by the number (24) 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 234234144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345290400).

234234144 is an abundant number, since it is smaller than the sum of its proper divisors (456346656).

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

234234144 is a wasteful number, since it uses less digits than its factorization.

234234144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 332 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 234234144 is about 15304.7098633068. The cubic root of 234234144 is about 616.4294806692.

Adding to 234234144 its reverse (441432432), we get a palindrome (675666576).

The spelling of 234234144 in words is "two hundred thirty-four million, two hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 67 72 96 122 134 144 183 199 201 244 268 288 366 398 402 488 536 549 597 603 732 796 804 976 1072 1098 1194 1206 1464 1592 1608 1791 1952 2144 2196 2388 2412 2928 3184 3216 3582 4087 4392 4776 4824 5856 6368 6432 7164 8174 8784 9552 9648 12139 12261 13333 14328 16348 17568 19104 19296 24278 24522 26666 28656 32696 36417 36783 39999 48556 49044 53332 57312 65392 72834 73566 79998 97112 98088 106664 109251 119997 130784 145668 147132 159996 194224 196176 213328 218502 239994 291336 294264 319992 388448 392352 426656 437004 479988 582672 588528 639984 813313 874008 959976 1165344 1177056 1279968 1626626 1748016 1919952 2439939 3253252 3496032 3839904 4879878 6506504 7319817 9759756 13013008 14639634 19519512 26026016 29279268 39039024 58558536 78078048 117117072 234234144