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3405072 = 243116449
BaseRepresentation
bin1100111111010100010000
320101222212210
430333110100
51332430242
6200552120
740641216
oct14772420
96358783
103405072
111a16310
121182640
13922b48
14648cb6
15473d9c
hex33f510

3405072 has 40 divisors (see below), whose sum is σ = 9597600. Its totient is φ = 1031680.

The previous prime is 3405037. The next prime is 3405079. The reversal of 3405072 is 2705043.

It is a happy number.

3405072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3405079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2697 + ... + 3752.

It is an arithmetic number, because the mean of its divisors is an integer number (239940).

Almost surely, 23405072 is an apocalyptic number.

It is an amenable number.

3405072 is an abundant number, since it is smaller than the sum of its proper divisors (6192528).

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

3405072 is a wasteful number, since it uses less digits than its factorization.

3405072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6471 (or 6465 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 3405072 is about 1845.2837180228. The cubic root of 3405072 is about 150.4441944215. Note that the first 3 decimals are identical.

The spelling of 3405072 in words is "three million, four hundred five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 6449 12898 19347 25796 38694 51592 70939 77388 103184 141878 154776 212817 283756 309552 425634 567512 851268 1135024 1702536 3405072