Search a number
-
+
340449408 = 273213127179
BaseRepresentation
bin10100010010101…
…101100010000000
3212201121121210100
4110102231202000
51144123340113
653441002400
711302525605
oct2422554200
9781547710
10340449408
111651a1752
1296023400
13556c1070
14333026ac
151ed4dd73
hex144ad880

340449408 has 192 divisors, whose sum is σ = 1069286400. Its totient is φ = 103348224.

The previous prime is 340449407. The next prime is 340449413. The reversal of 340449408 is 804944043.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (340449407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1901863 + ... + 1902041.

It is an arithmetic number, because the mean of its divisors is an integer number (5569200).

Almost surely, 2340449408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340449408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534643200).

340449408 is an abundant number, since it is smaller than the sum of its proper divisors (728836992).

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

340449408 is a wasteful number, since it uses less digits than its factorization.

340449408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 340449408 is about 18451.2711757212. The cubic root of 340449408 is about 698.2605847451.

The spelling of 340449408 in words is "three hundred forty million, four hundred forty-nine thousand, four hundred eight".