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340770000 = 2435437307
BaseRepresentation
bin10100010011111…
…011110011010000
3212202012220120010
4110103323303100
51144214120000
653451514520
711305332354
oct2423736320
9782186503
10340770000
111653a05aa
1296158a40
13557a3c6c
1433387464
151edb3d50
hex144fbcd0

340770000 has 200 divisors, whose sum is σ = 1133462176. Its totient is φ = 88128000.

The previous prime is 340769987. The next prime is 340770043. The reversal of 340770000 is 77043.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×3407700002 = 232248385800000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1109847 + ... + 1110153.

Almost surely, 2340770000 is an apocalyptic number.

340770000 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 340770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566731088).

340770000 is an abundant number, since it is smaller than the sum of its proper divisors (792692176).

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

340770000 is a wasteful number, since it uses less digits than its factorization.

340770000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 21.

The square root of 340770000 is about 18459.9566630044. The cubic root of 340770000 is about 698.4796936859.

The spelling of 340770000 in words is "three hundred forty million, seven hundred seventy thousand".