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3485440 = 2857389
BaseRepresentation
bin1101010010111100000000
320120002010101
431102330000
51343013230
6202412144
741424430
oct15227400
96502111
103485440
111a70732
121201054
139505ba
1466a2c0
1548caca
hex352f00

3485440 has 72 divisors (see below), whose sum is σ = 9565920. Its totient is φ = 1191936.

The previous prime is 3485411. The next prime is 3485441. The reversal of 3485440 is 445843.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 3485399 and 3485408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3485441) 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, 8766 + ... + 9154.

It is an arithmetic number, because the mean of its divisors is an integer number (132860).

Almost surely, 23485440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4782960).

3485440 is an abundant number, since it is smaller than the sum of its proper divisors (6080480).

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

3485440 is an equidigital number, since it uses as much as digits as its factorization.

3485440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 3485440 is about 1866.9333142884. The cubic root of 3485440 is about 151.6186191374.

The spelling of 3485440 in words is "three million, four hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 389 448 560 640 778 896 1120 1280 1556 1792 1945 2240 2723 3112 3890 4480 5446 6224 7780 8960 10892 12448 13615 15560 21784 24896 27230 31120 43568 49792 54460 62240 87136 99584 108920 124480 174272 217840 248960 348544 435680 497920 697088 871360 1742720 3485440