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104341440 = 2635715527
BaseRepresentation
bin1100011100000…
…01111111000000
321021100002112210
412032001333000
5203202411230
614204222120
72404613310
oct616017700
9237302483
10104341440
11539972a5
122ab3a940
13188038c8
14dc01440
159260eb0
hex6381fc0

104341440 has 112 divisors (see below), whose sum is σ = 378634752. Its totient is φ = 23847936.

The previous prime is 104341439. The next prime is 104341451. The reversal of 104341440 is 44143401.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1043414402 = 21774272202547200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 1044 + ... + 14483.

Almost surely, 2104341440 is an apocalyptic number.

104341440 is a gapful number since it is divisible by the number (10) 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 104341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189317376).

104341440 is an abundant number, since it is smaller than the sum of its proper divisors (274293312).

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

104341440 is a wasteful number, since it uses less digits than its factorization.

104341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15554 (or 15544 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 104341440 is about 10214.7657829242. The cubic root of 104341440 is about 470.7810162108.

Adding to 104341440 its reverse (44143401), we get a palindrome (148484841).

The spelling of 104341440 in words is "one hundred four million, three hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 15527 31054 46581 62108 77635 93162 108689 124216 155270 186324 217378 232905 248432 310540 326067 372648 434756 465810 496864 543445 621080 652134 745296 869512 931620 993728 1086890 1242160 1304268 1490592 1630335 1739024 1863240 2173780 2484320 2608536 2981184 3260670 3478048 3726480 4347560 4968640 5217072 6521340 6956096 7452960 8695120 10434144 13042680 14905920 17390240 20868288 26085360 34780480 52170720 104341440