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3453313644 = 2232118720489
BaseRepresentation
bin1100110111010101…
…0110001001101100
322220200000111202100
43031311112021230
524033022014034
61330400255100
7151401452544
oct31565261154
98820014670
103453313644
11151233a720
12804611490
134305a1571
1424a8c8324
15153289099
hexcdd5626c

3453313644 has 36 divisors (see below), whose sum is σ = 9522775080. Its totient is φ = 1046458560.

The previous prime is 3453313627. The next prime is 3453313697. The reversal of 3453313644 is 4463133543.

3453313644 is a `hidden beast` number, since 3 + 4 + 5 + 3 + 3 + 1 + 3 + 644 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 3453313599 and 3453313608.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4359849 + ... + 4360640.

It is an arithmetic number, because the mean of its divisors is an integer number (264521530).

Almost surely, 23453313644 is an apocalyptic number.

It is an amenable number.

3453313644 is an abundant number, since it is smaller than the sum of its proper divisors (6069461436).

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

3453313644 is a wasteful number, since it uses less digits than its factorization.

3453313644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8720510 (or 8720505 counting only the distinct ones).

The product of its digits is 155520, while the sum is 36.

The square root of 3453313644 is about 58764.9014633735. The cubic root of 3453313644 is about 1511.5134226282.

The spelling of 3453313644 in words is "three billion, four hundred fifty-three million, three hundred thirteen thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 8720489 17440978 26161467 34881956 52322934 78484401 95925379 104645868 156968802 191850758 287776137 313937604 383701516 575552274 863328411 1151104548 1726656822 3453313644