Search a number
-
+
340987680 = 2532511219103
BaseRepresentation
bin10100010100110…
…000111100100000
3212202121222011100
4110110300330200
51144243101210
653500314400
711310230115
oct2424607440
9782558140
10340987680
1116552a100
1296242a00
135584c077
143340290c
151ee085c0
hex14530f20

340987680 has 432 divisors, whose sum is σ = 1359408960. Its totient is φ = 77552640.

The previous prime is 340987639. The next prime is 340987681. The reversal of 340987680 is 86789043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (340987681) 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 71 ways as a sum of consecutive naturals, for example, 3310509 + ... + 3310611.

It is an arithmetic number, because the mean of its divisors is an integer number (3146780).

Almost surely, 2340987680 is an apocalyptic number.

340987680 is a gapful number since it is divisible by the number (30) 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 340987680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679704480).

340987680 is an abundant number, since it is smaller than the sum of its proper divisors (1018421280).

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

340987680 is a wasteful number, since it uses less digits than its factorization.

340987680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 340987680 is about 18465.8517269039. The cubic root of 340987680 is about 698.6283889900.

The spelling of 340987680 in words is "three hundred forty million, nine hundred eighty-seven thousand, six hundred eighty".