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340272840 = 233510726501
BaseRepresentation
bin10100010010000…
…010011011001000
3212201021122120210
4110102002123020
51144102212330
653433121120
711301162045
oct2422023310
9781248523
10340272840
11165091026
1295b591a0
135565b89b
14332981cc
151ed168b0
hex144826c8

340272840 has 64 divisors (see below), whose sum is σ = 1030397760. Its totient is φ = 89888000.

The previous prime is 340272839. The next prime is 340272847. The reversal of 340272840 is 48272043.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 340272798 and 340272807.

It is not an unprimeable number, because it can be changed into a prime (340272847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411 + ... + 26090.

It is an arithmetic number, because the mean of its divisors is an integer number (16099965).

Almost surely, 2340272840 is an apocalyptic number.

340272840 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 340272840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515198880).

340272840 is an abundant number, since it is smaller than the sum of its proper divisors (690124920).

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

340272840 is a wasteful number, since it uses less digits than its factorization.

340272840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26622 (or 26618 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 340272840 is about 18446.4858441927. The cubic root of 340272840 is about 698.1398504135.

The spelling of 340272840 in words is "three hundred forty million, two hundred seventy-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 1070 1284 1605 2140 2568 3210 4280 6420 12840 26501 53002 79503 106004 132505 159006 212008 265010 318012 397515 530020 636024 795030 1060040 1590060 2835607 3180120 5671214 8506821 11342428 14178035 17013642 22684856 28356070 34027284 42534105 56712140 68054568 85068210 113424280 170136420 340272840