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1230421948 = 22739472
BaseRepresentation
bin100100101010110…
…1011111110111100
310011202020220121021
41021111223332330
510004442000243
6322032113524
742330262000
oct11125537674
93152226537
101230421948
115815a5248
122a40958a4
13167bb6532
14b95ac700
15730496ed
hex4956bfbc

1230421948 has 36 divisors (see below), whose sum is σ = 2513719600. Its totient is φ = 526766856.

The previous prime is 1230421921. The next prime is 1230421991. The reversal of 1230421948 is 8491240321.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×12304219482 = 3027876340240229408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1298811 + ... + 1299757.

Almost surely, 21230421948 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 1230421948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256859800).

1230421948 is an abundant number, since it is smaller than the sum of its proper divisors (1283297652).

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

1230421948 is an frugal number, since it uses more digits than its factorization.

1230421948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 1230421948 is about 35077.3708820943. The cubic root of 1230421948 is about 1071.5637739765.

The spelling of 1230421948 in words is "one billion, two hundred thirty million, four hundred twenty-one thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 947 1372 1894 3788 6629 13258 26516 46403 92806 185612 324821 649642 896809 1299284 1793618 3587236 6277663 12555326 25110652 43943641 87887282 175774564 307605487 615210974 1230421948