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3420400 = 245217503
BaseRepresentation
bin1101000011000011110000
320102202220111
431003003300
51333423100
6201151104
741034004
oct15030360
96382814
103420400
111a26885
12118b494
13929b09
14650704
154786ba
hex3430f0

3420400 has 60 divisors (see below), whose sum is σ = 8718192. Its totient is φ = 1285120.

The previous prime is 3420371. The next prime is 3420401. The reversal of 3420400 is 40243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6549 + ... + 7051.

Almost surely, 23420400 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 3420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4359096).

3420400 is an abundant number, since it is smaller than the sum of its proper divisors (5297792).

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

3420400 is a wasteful number, since it uses less digits than its factorization.

3420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 3420400 is about 1849.4323453428. The cubic root of 3420400 is about 150.6695990588.

Adding to 3420400 its reverse (40243), we get a palindrome (3460643).

The spelling of 3420400 in words is "three million, four hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 503 680 850 1006 1360 1700 2012 2515 3400 4024 5030 6800 8048 8551 10060 12575 17102 20120 25150 34204 40240 42755 50300 68408 85510 100600 136816 171020 201200 213775 342040 427550 684080 855100 1710200 3420400