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104543352 = 233337103127
BaseRepresentation
bin1100011101100…
…11010001111000
321021201100112000
412032303101320
5203230341402
614212421000
72406414054
oct616632170
9237640460
10104543352
1154014a71
122b017760
1318874794
14dc54c64
1592a0c1c
hex63b3478

104543352 has 128 divisors (see below), whose sum is σ = 303513600. Its totient is φ = 33312384.

The previous prime is 104543333. The next prime is 104543359. The reversal of 104543352 is 253345401.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104543359) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 823113 + ... + 823239.

It is an arithmetic number, because the mean of its divisors is an integer number (2371200).

Almost surely, 2104543352 is an apocalyptic number.

104543352 is a gapful number since it is divisible by the number (12) 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 104543352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151756800).

104543352 is an abundant number, since it is smaller than the sum of its proper divisors (198970248).

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

104543352 is a wasteful number, since it uses less digits than its factorization.

104543352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 104543352 is about 10224.6443458929. The cubic root of 104543352 is about 471.0844913133.

Adding to 104543352 its reverse (253345401), we get a palindrome (357888753).

The spelling of 104543352 in words is "one hundred four million, five hundred forty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 103 108 111 127 148 206 216 222 254 296 309 333 381 412 444 508 618 666 762 824 888 927 999 1016 1143 1236 1332 1524 1854 1998 2286 2472 2664 2781 3048 3429 3708 3811 3996 4572 4699 5562 6858 7416 7622 7992 9144 9398 11124 11433 13081 13716 14097 15244 18796 22248 22866 26162 27432 28194 30488 34299 37592 39243 42291 45732 52324 56388 68598 78486 84582 91464 102897 104648 112776 117729 126873 137196 156972 169164 205794 235458 253746 274392 313944 338328 353187 411588 470916 483997 507492 706374 823176 941832 967994 1014984 1412748 1451991 1935988 2825496 2903982 3871976 4355973 5807964 8711946 11615928 13067919 17423892 26135838 34847784 52271676 104543352