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103493376 = 283472331
BaseRepresentation
bin1100010101100…
…10111100000000
321012202000020000
412022302330000
5202443242001
614134120000
72364451650
oct612627400
9235660200
10103493376
1153468118
122a7b0000
13185978ac
14da60360
159144a86
hex62b2f00

103493376 has 360 divisors, whose sum is σ = 379889664. Its totient is φ = 27371520.

The previous prime is 103493339. The next prime is 103493461. The reversal of 103493376 is 673394301.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 103493376.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 3338481 + ... + 3338511.

Almost surely, 2103493376 is an apocalyptic number.

103493376 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 103493376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189944832).

103493376 is an abundant number, since it is smaller than the sum of its proper divisors (276396288).

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

103493376 is an equidigital number, since it uses as much as digits as its factorization.

103493376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 103493376 is about 10173.1694176397. The cubic root of 103493376 is about 469.5020771785.

The spelling of 103493376 in words is "one hundred three million, four hundred ninety-three thousand, three hundred seventy-six".