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3445152 = 253172111
BaseRepresentation
bin1101001001000110100000
320111000212020
431021012200
51340221102
6201501440
741166114
oct15110640
96430766
103445152
111a43437
1211a1880
13938169
14659744
15480bbc
hex3491a0

3445152 has 48 divisors (see below), whose sum is σ = 9580032. Its totient is φ = 1080320.

The previous prime is 3445121. The next prime is 3445153. The reversal of 3445152 is 2515443.

3445152 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3445153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 577 + ... + 2687.

It is an arithmetic number, because the mean of its divisors is an integer number (199584).

Almost surely, 23445152 is an apocalyptic number.

3445152 is a gapful number since it is divisible by the number (32) 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 3445152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4790016).

3445152 is an abundant number, since it is smaller than the sum of its proper divisors (6134880).

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

3445152 is a wasteful number, since it uses less digits than its factorization.

3445152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141 (or 2133 counting only the distinct ones).

The product of its digits is 2400, while the sum is 24.

The square root of 3445152 is about 1856.1120655822. The cubic root of 3445152 is about 151.0321700971.

The spelling of 3445152 in words is "three million, four hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 2111 4222 6333 8444 12666 16888 25332 33776 35887 50664 67552 71774 101328 107661 143548 202656 215322 287096 430644 574192 861288 1148384 1722576 3445152