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1134003420 = 22325114161229
BaseRepresentation
bin100001110010111…
…1000010011011100
32221000211100020200
41003211320103130
54310301102140
6304305343500
740046604264
oct10345702334
92830740220
101134003420
1153212a610
12277937b90
13150c27c54
14aa8707a4
1569851030
hex439784dc

1134003420 has 288 divisors, whose sum is σ = 3924123840. Its totient is φ = 262656000.

The previous prime is 1134003419. The next prime is 1134003421. The reversal of 1134003420 is 243004311.

It is an interprime number because it is at equal distance from previous prime (1134003419) and next prime (1134003421).

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 = 1134003393 and 1134003402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134003421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4951866 + ... + 4952094.

It is an arithmetic number, because the mean of its divisors is an integer number (13625430).

Almost surely, 21134003420 is an apocalyptic number.

1134003420 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 1134003420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962061920).

1134003420 is an abundant number, since it is smaller than the sum of its proper divisors (2790120420).

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

1134003420 is a wasteful number, since it uses less digits than its factorization.

1134003420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1134003420 is about 33674.9672605631. The cubic root of 1134003420 is about 1042.8090417904.

Adding to 1134003420 its reverse (243004311), we get a palindrome (1377007731).

The spelling of 1134003420 in words is "one billion, one hundred thirty-four million, three thousand, four hundred twenty".