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232423240 = 23577383137
BaseRepresentation
bin11011101101001…
…11111101001000
3121012100022202011
431312213331020
5434000020430
635021345304
75521364530
oct1566477510
9535308664
10232423240
1110a219025
1265a08234
13391ca25a
1422c224c0
151561122a
hexdda7f48

232423240 has 128 divisors (see below), whose sum is σ = 617621760. Its totient is φ = 77082624.

The previous prime is 232423231. The next prime is 232423267. The reversal of 232423240 is 42324232.

232423240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1696452 + ... + 1696588.

It is an arithmetic number, because the mean of its divisors is an integer number (4825170).

Almost surely, 2232423240 is an apocalyptic number.

232423240 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 232423240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308810880).

232423240 is an abundant number, since it is smaller than the sum of its proper divisors (385198520).

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

232423240 is a wasteful number, since it uses less digits than its factorization.

232423240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 232423240 is about 15245.4334146327. The cubic root of 232423240 is about 614.8367954361.

Adding to 232423240 its reverse (42324232), we get a palindrome (274747472).

The spelling of 232423240 in words is "two hundred thirty-two million, four hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 73 83 137 140 146 166 274 280 292 332 365 415 511 548 581 584 664 685 730 830 959 1022 1096 1162 1370 1460 1660 1918 2044 2324 2555 2740 2905 2920 3320 3836 4088 4648 4795 5110 5480 5810 6059 7672 9590 10001 10220 11371 11620 12118 19180 20002 20440 22742 23240 24236 30295 38360 40004 42413 45484 48472 50005 56855 60590 70007 79597 80008 84826 90968 100010 113710 121180 140014 159194 169652 200020 212065 227420 242360 280028 318388 339304 350035 397985 400040 424130 454840 560056 636776 700070 795970 830083 848260 1400140 1591940 1660166 1696520 2800280 3183880 3320332 4150415 5810581 6640664 8300830 11621162 16601660 23242324 29052905 33203320 46484648 58105810 116211620 232423240