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193380408 = 233213206603
BaseRepresentation
bin10111000011011…
…00000000111000
3111110212202001100
423201230000320
5344001133113
631104451400
74535464164
oct1341540070
9443782040
10193380408
119a181621
1254919b60
13310aa2a0
141b97bca4
1511e9cd73
hexb86c038

193380408 has 48 divisors (see below), whose sum is σ = 564028920. Its totient is φ = 59501376.

The previous prime is 193380401. The next prime is 193380413. The reversal of 193380408 is 804083391.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193380401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 102366 + ... + 104237.

Almost surely, 2193380408 is an apocalyptic number.

193380408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

193380408 is an abundant number, since it is smaller than the sum of its proper divisors (370648512).

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

193380408 is a wasteful number, since it uses less digits than its factorization.

193380408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206628 (or 206621 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 193380408 is about 13906.1284331765. The cubic root of 193380408 is about 578.2790923965.

The spelling of 193380408 in words is "one hundred ninety-three million, three hundred eighty thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 206603 413206 619809 826412 1239618 1652824 1859427 2479236 2685839 3718854 4958472 5371678 7437708 8057517 10743356 14875416 16115034 21486712 24172551 32230068 48345102 64460136 96690204 193380408