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3453066540 = 2232571132971
BaseRepresentation
bin1100110111010001…
…1001110100101100
322220122112221210100
43031310121310230
524032441112130
61330351111100
7151366403250
oct31564316454
98818487710
103453066540
111512191000
12804512490
13430515c51
1424a862260
1515323ac60
hexcdd19d2c

3453066540 has 576 divisors, whose sum is σ = 13812664320. Its totient is φ = 683020800.

The previous prime is 3453066499. The next prime is 3453066541. The reversal of 3453066540 is 456603543.

3453066540 is a `hidden beast` number, since 3 + 4 + 53 + 0 + 66 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3453066495 and 3453066504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3453066541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48634705 + ... + 48634775.

It is an arithmetic number, because the mean of its divisors is an integer number (23980320).

Almost surely, 23453066540 is an apocalyptic number.

3453066540 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 3453066540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6906332160).

3453066540 is an abundant number, since it is smaller than the sum of its proper divisors (10359597780).

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

3453066540 is a wasteful number, since it uses less digits than its factorization.

3453066540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 3453066540 is about 58762.7989462721. The cubic root of 3453066540 is about 1511.4773693414.

The spelling of 3453066540 in words is "three billion, four hundred fifty-three million, sixty-six thousand, five hundred forty".