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340452540 = 2232517313797
BaseRepresentation
bin10100010010101…
…110010010111100
3212201121210002100
4110102232102330
51144123440130
653441025100
711302541001
oct2422562274
9781553070
10340452540
111651a403a
1296025190
13556c260c
14333038a8
151ed4ec60
hex144ae4bc

340452540 has 288 divisors, whose sum is σ = 1171183104. Its totient is φ = 79626240.

The previous prime is 340452533. The next prime is 340452551. The reversal of 340452540 is 45254043.

340452540 is a `hidden beast` number, since 3 + 404 + 5 + 254 + 0 = 666.

340452540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3509772 + ... + 3509868.

It is an arithmetic number, because the mean of its divisors is an integer number (4066608).

Almost surely, 2340452540 is an apocalyptic number.

340452540 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 340452540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585591552).

340452540 is an abundant number, since it is smaller than the sum of its proper divisors (830730564).

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

340452540 is a wasteful number, since it uses less digits than its factorization.

340452540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 340452540 is about 18451.3560477272. The cubic root of 340452540 is about 698.2627259790.

It can be divided in two parts, 34045 and 2540, that added together give a triangular number (36585 = T270).

The spelling of 340452540 in words is "three hundred forty million, four hundred fifty-two thousand, five hundred forty".