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3486420 = 2232572767
BaseRepresentation
bin1101010011001011010100
320120010110200
431103023110
51343031140
6202420500
741430330
oct15231324
96503420
103486420
111a71443
121201730
13950b92
1466a7c0
1548d030
hex3532d4

3486420 has 72 divisors (see below), whose sum is σ = 12090624. Its totient is φ = 796608.

The previous prime is 3486403. The next prime is 3486463. The reversal of 3486420 is 246843.

3486420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 124 + ... + 2643.

Almost surely, 23486420 is an apocalyptic number.

3486420 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 3486420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6045312).

3486420 is an abundant number, since it is smaller than the sum of its proper divisors (8604204).

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

3486420 is a wasteful number, since it uses less digits than its factorization.

3486420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2789 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3486420 is about 1867.1957583499. The cubic root of 3486420 is about 151.6328279913.

The spelling of 3486420 in words is "three million, four hundred eighty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 2767 5534 8301 11068 13835 16602 19369 24903 27670 33204 38738 41505 49806 55340 58107 77476 83010 96845 99612 116214 124515 166020 174321 193690 232428 249030 290535 348642 387380 498060 581070 697284 871605 1162140 1743210 3486420