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3400020 = 22325131453
BaseRepresentation
bin1100111110000101010100
320101201221200
430332011110
51332300040
6200512500
740620411
oct14760524
96351850
103400020
111a12538
12117b730
13920760
14647108
15472630
hex33e154

3400020 has 72 divisors (see below), whose sum is σ = 11114376. Its totient is φ = 836352.

The previous prime is 3399997. The next prime is 3400043. The reversal of 3400020 is 200043.

3400020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3399997) and next prime (3400043).

It can be written as a sum of positive squares in 4 ways, for example, as 617796 + 2782224 = 786^2 + 1668^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 3399975 and 3400011.

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, 1614 + ... + 3066.

Almost surely, 23400020 is an apocalyptic number.

3400020 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 3400020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5557188).

3400020 is an abundant number, since it is smaller than the sum of its proper divisors (7714356).

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

3400020 is a wasteful number, since it uses less digits than its factorization.

3400020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 3400020 is about 1843.9143147120. The cubic root of 3400020 is about 150.3697544620.

Adding to 3400020 its reverse (200043), we get a palindrome (3600063).

The spelling of 3400020 in words is "three million, four hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 1453 2340 2906 4359 5812 7265 8718 13077 14530 17436 18889 21795 26154 29060 37778 43590 52308 56667 65385 75556 87180 94445 113334 130770 170001 188890 226668 261540 283335 340002 377780 566670 680004 850005 1133340 1700010 3400020