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104819344 = 2471396733
BaseRepresentation
bin1100011111101…
…10101010010000
321022020101002221
412033312222100
5203313204334
614222350424
72411643520
oct617665220
9238211087
10104819344
1154193363
122b12b414
13189402a6
14dcc7680
1593078b4
hex63f6a90

104819344 has 40 divisors (see below), whose sum is σ = 233804480. Its totient is φ = 44592768.

The previous prime is 104819321. The next prime is 104819381. The reversal of 104819344 is 443918401.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12202 + ... + 18934.

It is an arithmetic number, because the mean of its divisors is an integer number (5845112).

Almost surely, 2104819344 is an apocalyptic number.

104819344 is a gapful number since it is divisible by the number (14) 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 104819344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116902240).

104819344 is an abundant number, since it is smaller than the sum of its proper divisors (128985136).

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

104819344 is a wasteful number, since it uses less digits than its factorization.

104819344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6887 (or 6881 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 104819344 is about 10238.1318608426. The cubic root of 104819344 is about 471.4986777195.

The spelling of 104819344 in words is "one hundred four million, eight hundred nineteen thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 139 278 556 973 1112 1946 2224 3892 6733 7784 13466 15568 26932 47131 53864 94262 107728 188524 377048 754096 935887 1871774 3743548 6551209 7487096 13102418 14974192 26204836 52409672 104819344