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1814077434 = 231326412791
BaseRepresentation
bin110110000100000…
…1001111111111010
311200102111200102010
41230020021333322
512203400434214
6500001550350
762645255331
oct15410117772
94612450363
101814077434
11850aaa254
124276453b6
1322baab800
14132cdcd18
15a93d9659
hex6c209ffa

1814077434 has 48 divisors (see below), whose sum is σ = 3936250944. Its totient is φ = 557107200.

The previous prime is 1814077411. The next prime is 1814077451. The reversal of 1814077434 is 4347704181.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 1814077392 and 1814077401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 648579 + ... + 651369.

It is an arithmetic number, because the mean of its divisors is an integer number (82005228).

Almost surely, 21814077434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1814077434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968125472).

1814077434 is an abundant number, since it is smaller than the sum of its proper divisors (2122173510).

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

1814077434 is a wasteful number, since it uses less digits than its factorization.

1814077434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3463 (or 3450 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 1814077434 is about 42591.9879085257. The cubic root of 1814077434 is about 1219.6033454755.

The spelling of 1814077434 in words is "one billion, eight hundred fourteen million, seventy-seven thousand, four hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 78 169 338 507 641 1014 1282 1923 2791 3846 5582 8333 8373 16666 16746 24999 36283 49998 72566 108329 108849 216658 217698 324987 471679 649974 943358 1415037 1789031 2830074 3578062 5367093 10734186 23257403 46514806 69772209 139544418 302346239 604692478 907038717 1814077434