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23402340 = 223251373137
BaseRepresentation
bin101100101000…
…1011101100100
31122000221222100
41121101131210
521442333330
62153332100
7402626253
oct131213544
948027870
1023402340
1112234585
127a07030
134b04c50
14317279a
1520c4060
hex1651764

23402340 has 144 divisors (see below), whose sum is σ = 78060528. Its totient is φ = 5640192.

The previous prime is 23402299. The next prime is 23402347. The reversal of 23402340 is 4320432.

It can be written as a sum of positive squares in 8 ways, for example, as 820836 + 22581504 = 906^2 + 4752^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23402347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170752 + ... + 170888.

It is an arithmetic number, because the mean of its divisors is an integer number (542087).

Almost surely, 223402340 is an apocalyptic number.

23402340 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 23402340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39030264).

23402340 is an abundant number, since it is smaller than the sum of its proper divisors (54658188).

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

23402340 is a wasteful number, since it uses less digits than its factorization.

23402340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 233 counting only the distinct ones).

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

The square root of 23402340 is about 4837.5965106652. The cubic root of 23402340 is about 286.0353844756.

Adding to 23402340 its reverse (4320432), we get a palindrome (27722772).

The spelling of 23402340 in words is "twenty-three million, four hundred two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 73 78 90 117 130 137 146 156 180 195 219 234 260 274 292 365 390 411 438 468 548 585 657 685 730 780 822 876 949 1095 1170 1233 1314 1370 1460 1644 1781 1898 2055 2190 2340 2466 2628 2740 2847 3285 3562 3796 4110 4380 4745 4932 5343 5694 6165 6570 7124 8220 8541 8905 9490 10001 10686 11388 12330 13140 14235 16029 17082 17810 18980 20002 21372 24660 26715 28470 30003 32058 34164 35620 40004 42705 50005 53430 56940 60006 64116 80145 85410 90009 100010 106860 120012 130013 150015 160290 170820 180018 200020 260026 300030 320580 360036 390039 450045 520052 600060 650065 780078 900090 1170117 1300130 1560156 1800180 1950195 2340234 2600260 3900390 4680468 5850585 7800780 11701170 23402340