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23434056 = 2333235389
BaseRepresentation
bin101100101100…
…1001101001000
31122002120111000
41121121031020
521444342211
62154135000
7403120602
oct131311510
948076430
1023434056
1112256398
127a21460
134b16509
143180172
1520cd656
hex1659348

23434056 has 128 divisors (see below), whose sum is σ = 69984000. Its totient is φ = 7248384.

The previous prime is 23434043. The next prime is 23434057. The reversal of 23434056 is 65043432.

It is a super-2 number, since 2×234340562 = 1098309961222272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (23434057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263260 + ... + 263348.

It is an arithmetic number, because the mean of its divisors is an integer number (546750).

Almost surely, 223434056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23434056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34992000).

23434056 is an abundant number, since it is smaller than the sum of its proper divisors (46549944).

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

23434056 is a wasteful number, since it uses less digits than its factorization.

23434056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 23434056 is about 4840.8734749010. The cubic root of 23434056 is about 286.1645425442.

Adding to 23434056 its reverse (65043432), we get a palindrome (88477488).

The spelling of 23434056 in words is "twenty-three million, four hundred thirty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 53 54 69 72 89 92 106 108 138 159 178 184 207 212 216 267 276 318 356 414 424 477 534 552 621 636 712 801 828 954 1068 1219 1242 1272 1431 1602 1656 1908 2047 2136 2403 2438 2484 2862 3204 3657 3816 4094 4717 4806 4876 4968 5724 6141 6408 7314 8188 9434 9612 9752 10971 11448 12282 14151 14628 16376 18423 18868 19224 21942 24564 28302 29256 32913 36846 37736 42453 43884 49128 55269 56604 65826 73692 84906 87768 108491 110538 113208 127359 131652 147384 169812 216982 221076 254718 263304 325473 339624 433964 442152 509436 650946 867928 976419 1018872 1301892 1952838 2603784 2929257 3905676 5858514 7811352 11717028 23434056