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23096340 = 2234553269
BaseRepresentation
bin101100000011…
…0110000010100
31121110102020000
41120012300110
521403040330
62143011300
7400213161
oct130066024
947412200
1023096340
1112045693
127899b30
134a28897
1430d3068
152063560
hex1606c14

23096340 has 120 divisors (see below), whose sum is σ = 74095560. Its totient is φ = 6020352.

The previous prime is 23096329. The next prime is 23096351. The reversal of 23096340 is 4369032.

23096340 is a `hidden beast` number, since 23 + 0 + 9 + 634 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23096329) and next prime (23096351).

It can be written as a sum of positive squares in 4 ways, for example, as 685584 + 22410756 = 828^2 + 4734^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 85726 + ... + 85994.

It is an arithmetic number, because the mean of its divisors is an integer number (617463).

Almost surely, 223096340 is an apocalyptic number.

23096340 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 23096340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37047780).

23096340 is an abundant number, since it is smaller than the sum of its proper divisors (50999220).

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

23096340 is a wasteful number, since it uses less digits than its factorization.

23096340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 23096340 is about 4805.8651666479. The cubic root of 23096340 is about 284.7832146453.

It can be divided in two parts, 23096 and 340, that added together give a triangular number (23436 = T216).

The spelling of 23096340 in words is "twenty-three million, ninety-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 53 54 60 81 90 106 108 135 159 162 180 212 265 269 270 318 324 405 477 530 538 540 636 795 807 810 954 1060 1076 1345 1431 1590 1614 1620 1908 2385 2421 2690 2862 3180 3228 4035 4293 4770 4842 5380 5724 7155 7263 8070 8586 9540 9684 12105 14257 14310 14526 16140 17172 21465 21789 24210 28514 28620 29052 36315 42771 42930 43578 48420 57028 71285 72630 85542 85860 87156 108945 128313 142570 145260 171084 213855 217890 256626 285140 384939 427710 435780 513252 641565 769878 855420 1154817 1283130 1539756 1924695 2309634 2566260 3849390 4619268 5774085 7698780 11548170 23096340