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340378008 = 23319898387
BaseRepresentation
bin10100010010011…
…100000110011000
3212201110222211220
4110102130012120
51144114044013
653435252040
711302110465
oct2422340630
9781428756
10340378008
11165153043
1295baa020
1355697709
14332c466c
151ed37b23
hex1449c198

340378008 has 64 divisors (see below), whose sum is σ = 905904000. Its totient is φ = 106267392.

The previous prime is 340378001. The next prime is 340378033. The reversal of 340378008 is 800873043.

It is a self number, because there is not a number n which added to its sum of digits gives 340378008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340378001) 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 15 ways as a sum of consecutive naturals, for example, 36391 + ... + 44777.

It is an arithmetic number, because the mean of its divisors is an integer number (14154750).

Almost surely, 2340378008 is an apocalyptic number.

340378008 is a gapful number since it is divisible by the number (38) 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 340378008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452952000).

340378008 is an abundant number, since it is smaller than the sum of its proper divisors (565525992).

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

340378008 is a wasteful number, since it uses less digits than its factorization.

340378008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8504 (or 8500 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 340378008 is about 18449.3362482231. The cubic root of 340378008 is about 698.2117676127.

The spelling of 340378008 in words is "three hundred forty million, three hundred seventy-eight thousand, eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 89 114 152 178 228 267 356 456 534 712 1068 1691 2136 3382 5073 6764 8387 10146 13528 16774 20292 25161 33548 40584 50322 67096 100644 159353 201288 318706 478059 637412 746443 956118 1274824 1492886 1912236 2239329 2985772 3824472 4478658 5971544 8957316 14182417 17914632 28364834 42547251 56729668 85094502 113459336 170189004 340378008