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23430240 = 2532553307
BaseRepresentation
bin101100101100…
…0010001100000
31122002101020200
41121120101200
521444231430
62154105200
7403103511
oct131302140
948071220
1023430240
1112253539
127a1b200
134b14862
14317ca08
1520cc460
hex1658460

23430240 has 144 divisors (see below), whose sum is σ = 81729648. Its totient is φ = 6110208.

The previous prime is 23430223. The next prime is 23430263. The reversal of 23430240 is 4203432.

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

It is a super-2 number, since 2×234302402 = 1097952292915200, which contains 22 as substring.

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

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, 76167 + ... + 76473.

It is an arithmetic number, because the mean of its divisors is an integer number (567567).

Almost surely, 223430240 is an apocalyptic number.

23430240 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 23430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40864824).

23430240 is an abundant number, since it is smaller than the sum of its proper divisors (58299408).

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

23430240 is a wasteful number, since it uses less digits than its factorization.

23430240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 370 counting only the distinct ones).

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

The square root of 23430240 is about 4840.4793151092. The cubic root of 23430240 is about 286.1490086965.

Adding to 23430240 its reverse (4203432), we get a palindrome (27633672).

The spelling of 23430240 in words is "twenty-three million, four hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 53 60 72 80 90 96 106 120 144 159 160 180 212 240 265 288 307 318 360 424 477 480 530 614 636 720 795 848 921 954 1060 1228 1272 1440 1535 1590 1696 1842 1908 2120 2385 2456 2544 2763 3070 3180 3684 3816 4240 4605 4770 4912 5088 5526 6140 6360 7368 7632 8480 9210 9540 9824 11052 12280 12720 13815 14736 15264 16271 18420 19080 22104 24560 25440 27630 29472 32542 36840 38160 44208 48813 49120 55260 65084 73680 76320 81355 88416 97626 110520 130168 146439 147360 162710 195252 221040 244065 260336 292878 325420 390504 442080 488130 520672 585756 650840 732195 781008 976260 1171512 1301680 1464390 1562016 1952520 2343024 2603360 2928780 3905040 4686048 5857560 7810080 11715120 23430240