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104433408 = 283329521
BaseRepresentation
bin1100011100110…
…00011100000000
321021111202201000
412032120130000
5203213332113
614210212000
72405445402
oct616303400
9237452630
10104433408
1153a4a402
122ab84000
1318836721
14dc26b72
15927d373
hex6398700

104433408 has 144 divisors (see below), whose sum is σ = 320090400. Its totient is φ = 33546240.

The previous prime is 104433383. The next prime is 104433419. The reversal of 104433408 is 804334401.

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

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200188 + ... + 200708.

It is an arithmetic number, because the mean of its divisors is an integer number (2222850).

Almost surely, 2104433408 is an apocalyptic number.

104433408 is a gapful number since it is divisible by the number (18) 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 104433408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160045200).

104433408 is an abundant number, since it is smaller than the sum of its proper divisors (215656992).

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

104433408 is an equidigital number, since it uses as much as digits as its factorization.

104433408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 104433408 is about 10219.2665098822. The cubic root of 104433408 is about 470.9192932428.

Adding to 104433408 its reverse (804334401), we get a palindrome (908767809).

The spelling of 104433408 in words is "one hundred four million, four hundred thirty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 256 261 288 348 384 432 464 521 522 576 696 768 783 864 928 1042 1044 1152 1392 1563 1566 1728 1856 2084 2088 2304 2784 3126 3132 3456 3712 4168 4176 4689 5568 6252 6264 6912 7424 8336 8352 9378 11136 12504 12528 14067 15109 16672 16704 18756 22272 25008 25056 28134 30218 33344 33408 37512 45327 50016 50112 56268 60436 66688 66816 75024 90654 100032 100224 112536 120872 133376 135981 150048 181308 200064 200448 225072 241744 271962 300096 362616 400128 407943 450144 483488 543924 600192 725232 815886 900288 966976 1087848 1200384 1450464 1631772 1800576 1933952 2175696 2900928 3263544 3601152 3867904 4351392 5801856 6527088 8702784 11603712 13054176 17405568 26108352 34811136 52216704 104433408