Search a number
-
+
232345440 = 25325473433
BaseRepresentation
bin11011101100101…
…00111101100000
3121012012101000200
431312110331200
5433440023230
635015545200
75520621645
oct1566247540
9535171020
10232345440
1110a175628
126598b200
13391a0a12
1422c01dcc
15155e8160
hexdd94f60

232345440 has 144 divisors (see below), whose sum is σ = 809984448. Its totient is φ = 60622848.

The previous prime is 232345439. The next prime is 232345493. The reversal of 232345440 is 44543232.

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

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, 65964 + ... + 69396.

It is an arithmetic number, because the mean of its divisors is an integer number (5624892).

Almost surely, 2232345440 is an apocalyptic number.

232345440 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 232345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404992224).

232345440 is an abundant number, since it is smaller than the sum of its proper divisors (577639008).

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

232345440 is a wasteful number, since it uses less digits than its factorization.

232345440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3501 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 232345440 is about 15242.8816173321. The cubic root of 232345440 is about 614.7681854856.

Adding to 232345440 its reverse (44543232), we get a palindrome (276888672).

The spelling of 232345440 in words is "two hundred thirty-two million, three hundred forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 47 48 60 72 80 90 94 96 120 141 144 160 180 188 235 240 282 288 360 376 423 470 480 564 705 720 752 846 940 1128 1410 1440 1504 1692 1880 2115 2256 2820 3384 3433 3760 4230 4512 5640 6768 6866 7520 8460 10299 11280 13536 13732 16920 17165 20598 22560 27464 30897 33840 34330 41196 51495 54928 61794 67680 68660 82392 102990 109856 123588 137320 154485 161351 164784 205980 247176 274640 308970 322702 329568 411960 484053 494352 549280 617940 645404 806755 823920 968106 988704 1235880 1290808 1452159 1613510 1647840 1936212 2420265 2471760 2581616 2904318 3227020 3872424 4840530 4943520 5163232 5808636 6454040 7260795 7744848 9681060 11617272 12908080 14521590 15489696 19362120 23234544 25816160 29043180 38724240 46469088 58086360 77448480 116172720 232345440