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3466740 = 2235193041
BaseRepresentation
bin1101001110010111110100
320112010110210
431032113310
51341413430
6202145420
741316054
oct15162764
96463423
103466740
111a58682
1211b2270
13944c34
14663564
154872b0
hex34e5f4

3466740 has 48 divisors (see below), whose sum is σ = 10221120. Its totient is φ = 875520.

The previous prime is 3466739. The next prime is 3466741. The reversal of 3466740 is 476643.

It is an interprime number because it is at equal distance from previous prime (3466739) and next prime (3466741).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 313 + 44 + 6 + 62 + 77 + 410 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 3466698 and 3466707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3466741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381 + ... + 2660.

It is an arithmetic number, because the mean of its divisors is an integer number (212940).

Almost surely, 23466740 is an apocalyptic number.

3466740 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 3466740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5110560).

3466740 is an abundant number, since it is smaller than the sum of its proper divisors (6754380).

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

3466740 is a wasteful number, since it uses less digits than its factorization.

3466740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 3466740 is about 1861.9183655574. The cubic root of 3466740 is about 151.3469792185.

The spelling of 3466740 in words is "three million, four hundred sixty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 3041 6082 9123 12164 15205 18246 30410 36492 45615 57779 60820 91230 115558 173337 182460 231116 288895 346674 577790 693348 866685 1155580 1733370 3466740