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104374368 = 25327232251
BaseRepresentation
bin1100011100010…
…10000001100000
321021101202201100
412032022001200
5203204434433
614205034400
72405111310
oct616120140
9237352640
10104374368
1153a0a00a
122ab55a00
13188158a7
14dc0d440
15926ab13
hex638a060

104374368 has 144 divisors (see below), whose sum is σ = 354122496. Its totient is φ = 28512000.

The previous prime is 104374337. The next prime is 104374379. The reversal of 104374368 is 863473401.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45243 + ... + 47493.

It is an arithmetic number, because the mean of its divisors is an integer number (2459184).

Almost surely, 2104374368 is an apocalyptic number.

104374368 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 104374368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177061248).

104374368 is an abundant number, since it is smaller than the sum of its proper divisors (249748128).

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

104374368 is a wasteful number, since it uses less digits than its factorization.

104374368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 104374368 is about 10216.3774401693. The cubic root of 104374368 is about 470.8305339188.

The spelling of 104374368 in words is "one hundred four million, three hundred seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 69 72 84 92 96 112 126 138 144 161 168 184 207 224 252 276 288 322 336 368 414 483 504 552 644 672 736 828 966 1008 1104 1288 1449 1656 1932 2016 2208 2251 2576 2898 3312 3864 4502 5152 5796 6624 6753 7728 9004 11592 13506 15456 15757 18008 20259 23184 27012 31514 36016 40518 46368 47271 51773 54024 63028 72032 81036 94542 103546 108048 126056 141813 155319 162072 189084 207092 216096 252112 283626 310638 324144 362411 378168 414184 465957 504224 567252 621276 648288 724822 756336 828368 931914 1087233 1134504 1242552 1449644 1512672 1656736 1863828 2174466 2269008 2485104 2899288 3261699 3727656 4348932 4538016 4970208 5798576 6523398 7455312 8697864 11597152 13046796 14910624 17395728 26093592 34791456 52187184 104374368