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1348824948 = 2231717338219
BaseRepresentation
bin101000001100101…
…0110111101110100
310111000001101222120
41100121112331310
510230244344243
6341501555540
745265552152
oct12031267564
93430041876
101348824948
11632416169
12317875bb0
131865a1593
14cb1d03d2
157d636c83
hex50656f74

1348824948 has 48 divisors (see below), whose sum is σ = 3351741120. Its totient is φ = 420703744.

The previous prime is 1348824947. The next prime is 1348824977. The reversal of 1348824948 is 8494288431.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 1348824948.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1348824943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16183 + ... + 54401.

It is an arithmetic number, because the mean of its divisors is an integer number (69827940).

Almost surely, 21348824948 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 1348824948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675870560).

1348824948 is an abundant number, since it is smaller than the sum of its proper divisors (2002916172).

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

1348824948 is a wasteful number, since it uses less digits than its factorization.

1348824948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38416 (or 38414 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 51.

The square root of 1348824948 is about 36726.3522283387. The cubic root of 1348824948 is about 1104.8886951353. Note that the first 3 decimals are identical.

The spelling of 1348824948 in words is "one billion, three hundred forty-eight million, eight hundred twenty-four thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 173 204 346 519 692 1038 2076 2941 5882 8823 11764 17646 35292 38219 76438 114657 152876 229314 458628 649723 1299446 1949169 2598892 3898338 6611887 7796676 13223774 19835661 26447548 39671322 79342644 112402079 224804158 337206237 449608316 674412474 1348824948