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1384967424 = 28317374761
BaseRepresentation
bin101001010001100…
…1110110100000000
310120112001122010210
41102203032310000
510314022424144
6345232354120
746215012621
oct12243166400
93515048123
101384967424
11650861585
123279a5940
13190c17369
14d1d1ba48
15818c5ab9
hex528ced00

1384967424 has 288 divisors, whose sum is σ = 4160733696. Its totient is φ = 406978560.

The previous prime is 1384967417. The next prime is 1384967431. The reversal of 1384967424 is 4247694831.

It is an interprime number because it is at equal distance from previous prime (1384967417) and next prime (1384967431).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22704354 + ... + 22704414.

It is an arithmetic number, because the mean of its divisors is an integer number (14446992).

Almost surely, 21384967424 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 1384967424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080366848).

1384967424 is an abundant number, since it is smaller than the sum of its proper divisors (2775766272).

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

1384967424 is a wasteful number, since it uses less digits than its factorization.

1384967424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 167 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 1384967424 is about 37215.1504632186. The cubic root of 1384967424 is about 1114.6705305249.

The spelling of 1384967424 in words is "one billion, three hundred eighty-four million, nine hundred sixty-seven thousand, four hundred twenty-four".