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234841152 = 26371313441
BaseRepresentation
bin11011111111101…
…10010001000000
3121100220011111110
431333312101000
5440104404102
635145243320
75551055040
oct1577662100
9540804443
10234841152
1111061a6a7
1266793540
1339865980
1423291720
151593c86c
hexdff6440

234841152 has 112 divisors (see below), whose sum is σ = 764796032. Its totient is φ = 61931520.

The previous prime is 234841147. The next prime is 234841157. The reversal of 234841152 is 251148432.

It is an interprime number because it is at equal distance from previous prime (234841147) and next prime (234841157).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234841157) 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, 10752 + ... + 24192.

It is an arithmetic number, because the mean of its divisors is an integer number (6828536).

Almost surely, 2234841152 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 234841152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382398016).

234841152 is an abundant number, since it is smaller than the sum of its proper divisors (529954880).

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

234841152 is a wasteful number, since it uses less digits than its factorization.

234841152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13476 (or 13466 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 234841152 is about 15324.5277904410. The cubic root of 234841152 is about 616.9615051106.

Adding to 234841152 its reverse (251148432), we get a palindrome (485989584).

The spelling of 234841152 in words is "two hundred thirty-four million, eight hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 4368 5824 8736 13441 17472 26882 40323 53764 80646 94087 107528 161292 174733 188174 215056 282261 322584 349466 376348 430112 524199 564522 645168 698932 752696 860224 1048398 1129044 1223131 1290336 1397864 1505392 2096796 2258088 2446262 2580672 2795728 3010784 3669393 4193592 4516176 4892524 5591456 6021568 7338786 8387184 9032352 9785048 11182912 14677572 16774368 18064704 19570096 29355144 33548736 39140192 58710288 78280384 117420576 234841152