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1200234420 = 22325721189139
BaseRepresentation
bin100011110001010…
…0001111110110100
310002122110020002200
41013202201332310
54424230000140
6315033104500
741512552500
oct10742417664
93078406080
101200234420
11566556980
12295b58130
131618770a8
14b5591300
1570585030
hex478a1fb4

1200234420 has 432 divisors, whose sum is σ = 4705646400. Its totient is φ = 244823040.

The previous prime is 1200234419. The next prime is 1200234421. The reversal of 1200234420 is 244320021.

1200234420 is a `hidden beast` number, since 1 + 200 + 23 + 442 + 0 = 666.

1200234420 is digitally balanced in base 4, 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 (1200234419) and next prime (1200234421).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1200234393 and 1200234402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200234421) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8634711 + ... + 8634849.

It is an arithmetic number, because the mean of its divisors is an integer number (10892700).

Almost surely, 21200234420 is an apocalyptic number.

1200234420 is a gapful number since it is divisible by the number (10) 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 1200234420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352823200).

1200234420 is an abundant number, since it is smaller than the sum of its proper divisors (3505411980).

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

1200234420 is a wasteful number, since it uses less digits than its factorization.

1200234420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1200234420 is about 34644.3995474016. The cubic root of 1200234420 is about 1062.7277614611.

Adding to 1200234420 its reverse (244320021), we get a palindrome (1444554441).

The spelling of 1200234420 in words is "one billion, two hundred million, two hundred thirty-four thousand, four hundred twenty".