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234438512 = 24711372139
BaseRepresentation
bin11011111100100…
…11111101110000
3121100010201011212
431332103331300
5440004013022
635132455252
75544460130
oct1576237560
9540121155
10234438512
11110375140
126661a528
1339754619
14231c8ac0
15158ad3e2
hexdf93f70

234438512 has 120 divisors (see below), whose sum is σ = 586212480. Its totient is φ = 88231680.

The previous prime is 234438493. The next prime is 234438527. The reversal of 234438512 is 215834432.

It is a super-2 number, since 2×2344385122 = 109922831817548288, which contains 22 as substring.

It is a congruent number.

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, 1686539 + ... + 1686677.

It is an arithmetic number, because the mean of its divisors is an integer number (4885104).

Almost surely, 2234438512 is an apocalyptic number.

234438512 is a gapful number since it is divisible by the number (22) 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 234438512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293106240).

234438512 is an abundant number, since it is smaller than the sum of its proper divisors (351773968).

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

234438512 is a wasteful number, since it uses less digits than its factorization.

234438512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 196 counting only the distinct ones).

The product of its digits is 23040, while the sum is 32.

The square root of 234438512 is about 15311.3850451225. The cubic root of 234438512 is about 616.6087056635.

The spelling of 234438512 in words is "two hundred thirty-four million, four hundred thirty-eight thousand, five hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 37 44 56 74 77 88 112 139 148 154 176 259 278 296 308 407 518 556 592 616 814 973 1036 1112 1232 1369 1529 1628 1946 2072 2224 2738 2849 3058 3256 3892 4144 5143 5476 5698 6116 6512 7784 9583 10286 10703 10952 11396 12232 15059 15568 19166 20572 21406 21904 22792 24464 30118 36001 38332 41144 42812 45584 56573 60236 72002 76664 82288 85624 105413 113146 120472 144004 153328 171248 190291 210826 226292 240944 288008 380582 396011 421652 452584 576016 761164 792022 843304 905168 1332037 1522328 1584044 1686608 2093201 2664074 3044656 3168088 4186402 5328148 6336176 8372804 10656296 14652407 16745608 21312592 29304814 33491216 58609628 117219256 234438512