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104414336 = 2713131479
BaseRepresentation
bin1100011100100…
…11110010000000
321021110210112122
412032103302000
5203212224321
614205543412
72405335655
oct616236200
9237423478
10104414336
1153a37044
122ab74b68
131882ab40
14dc1dc2c
1592778ab
hex6393c80

104414336 has 64 divisors (see below), whose sum is σ = 226195200. Its totient is φ = 47723520.

The previous prime is 104414327. The next prime is 104414353. The reversal of 104414336 is 633414401.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217745 + ... + 218223.

It is an arithmetic number, because the mean of its divisors is an integer number (3534300).

Almost surely, 2104414336 is an apocalyptic number.

104414336 is a gapful number since it is divisible by the number (16) 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 104414336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113097600).

104414336 is an abundant number, since it is smaller than the sum of its proper divisors (121780864).

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

104414336 is a wasteful number, since it uses less digits than its factorization.

104414336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 104414336 is about 10218.3333278965. Note that the first 4 decimals coincide. The cubic root of 104414336 is about 470.8906245127.

Adding to 104414336 its reverse (633414401), we get a palindrome (737828737).

The spelling of 104414336 in words is "one hundred four million, four hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 131 208 262 416 479 524 832 958 1048 1664 1703 1916 2096 3406 3832 4192 6227 6812 7664 8384 12454 13624 15328 16768 24908 27248 30656 49816 54496 61312 62749 99632 108992 125498 199264 217984 250996 398528 501992 797056 815737 1003984 1631474 2007968 3262948 4015936 6525896 8031872 13051792 26103584 52207168 104414336