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234320040 = 2335524107
BaseRepresentation
bin11011111011101…
…11000010101000
3121022220200200000
431331313002220
5434441220130
635130143000
75543454543
oct1575670250
9538820600
10234320040
111102a4129
1266581a60
1339712716
142319785a
1515888260
hexdf770a8

234320040 has 96 divisors (see below), whose sum is σ = 789778080. Its totient is φ = 62482752.

The previous prime is 234320017. The next prime is 234320057. The reversal of 234320040 is 40023432.

It is a super-2 number, since 2×2343200402 = 109811762291203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 234319995 and 234320022.

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, 2334 + ... + 21773.

It is an arithmetic number, because the mean of its divisors is an integer number (8226855).

Almost surely, 2234320040 is an apocalyptic number.

234320040 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 234320040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394889040).

234320040 is an abundant number, since it is smaller than the sum of its proper divisors (555458040).

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

234320040 is a wasteful number, since it uses less digits than its factorization.

234320040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24133 (or 24117 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 234320040 is about 15307.5158010697. The cubic root of 234320040 is about 616.5048217429.

Adding to 234320040 its reverse (40023432), we get a palindrome (274343472).

The spelling of 234320040 in words is "two hundred thirty-four million, three hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2430 3240 4860 9720 24107 48214 72321 96428 120535 144642 192856 216963 241070 289284 361605 433926 482140 578568 650889 723210 867852 964280 1084815 1301778 1446420 1735704 1952667 2169630 2603556 2892840 3254445 3905334 4339260 5207112 5858001 6508890 7810668 8678520 9763335 11716002 13017780 15621336 19526670 23432004 26035560 29290005 39053340 46864008 58580010 78106680 117160020 234320040