Search a number
-
+
1696087344 = 2437234153101
BaseRepresentation
bin110010100011000…
…0011110100110000
311101012111011102210
41211012003310300
511433144243334
6440145012120
760013335030
oct14506036460
94335434383
101696087344
117a0440586
123b4024040
132105096a3
141213878c0
159dd7e5e9
hex65183d30

1696087344 has 320 divisors, whose sum is σ = 5507647488. Its totient is φ = 439296000.

The previous prime is 1696087319. The next prime is 1696087369. The reversal of 1696087344 is 4437806961.

It is an interprime number because it is at equal distance from previous prime (1696087319) and next prime (1696087369).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1696087293 and 1696087302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16792894 + ... + 16792994.

Almost surely, 21696087344 is an apocalyptic number.

1696087344 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 1696087344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753823744).

1696087344 is an abundant number, since it is smaller than the sum of its proper divisors (3811560144).

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

1696087344 is a wasteful number, since it uses less digits than its factorization.

1696087344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 1696087344 is about 41183.5810001996. The cubic root of 1696087344 is about 1192.5668632437.

The spelling of 1696087344 in words is "one billion, six hundred ninety-six million, eighty-seven thousand, three hundred forty-four".