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3480000 = 2635429
BaseRepresentation
bin1101010001100111000000
320112210122220
431101213000
51342330000
6202331040
741402526
oct15214700
96483586
103480000
111a67637
1211b9a80
1394ac94
14668316
1548b1a0
hex3519c0

3480000 has 140 divisors (see below), whose sum is σ = 11902440. Its totient is φ = 896000.

The previous prime is 3479999. The next prime is 3480007. The reversal of 3480000 is 843.

It is a super-2 number, since 2×34800002 = 24220800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3480007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119986 + ... + 120014.

Almost surely, 23480000 is an apocalyptic number.

3480000 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 3480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5951220).

3480000 is an abundant number, since it is smaller than the sum of its proper divisors (8422440).

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

3480000 is an equidigital number, since it uses as much as digits as its factorization.

3480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3480000 is about 1865.4758106178. The cubic root of 3480000 is about 151.5396970335.

Adding to 3480000 its reverse (843), we get a palindrome (3480843).

It can be divided in two parts, 3 and 480000, that multiplied together give a square (1440000 = 12002).

The spelling of 3480000 in words is "three million, four hundred eighty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 32 40 48 50 58 60 64 75 80 87 96 100 116 120 125 145 150 160 174 192 200 232 240 250 290 300 320 348 375 400 435 464 480 500 580 600 625 696 725 750 800 870 928 960 1000 1160 1200 1250 1392 1450 1500 1600 1740 1856 1875 2000 2175 2320 2400 2500 2784 2900 3000 3480 3625 3750 4000 4350 4640 4800 5000 5568 5800 6000 6960 7250 7500 8000 8700 9280 10000 10875 11600 12000 13920 14500 15000 17400 18125 20000 21750 23200 24000 27840 29000 30000 34800 36250 40000 43500 46400 54375 58000 60000 69600 72500 87000 108750 116000 120000 139200 145000 174000 217500 232000 290000 348000 435000 580000 696000 870000 1160000 1740000 3480000