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1333780338 = 2311213913217
BaseRepresentation
bin100111101111111…
…1101111101110010
310102221202001122210
41033133331331302
510212421432323
6340203312550
745023642262
oct11737757562
93387661583
101333780338
1162497aa00
1231281b756
13183434847
14c91d57a2
157c164293
hex4f7fdf72

1333780338 has 48 divisors (see below), whose sum is σ = 2953429920. Its totient is φ = 401237760.

The previous prime is 1333780337. The next prime is 1333780367. The reversal of 1333780338 is 8330873331.

It is a junction number, because it is equal to n+sod(n) for n = 1333780296 and 1333780305.

It is not an unprimeable number, because it can be changed into a prime (1333780337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94306 + ... + 107522.

It is an arithmetic number, because the mean of its divisors is an integer number (61529790).

Almost surely, 21333780338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1333780338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476714960).

1333780338 is an abundant number, since it is smaller than the sum of its proper divisors (1619649582).

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

1333780338 is a wasteful number, since it uses less digits than its factorization.

1333780338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13383 (or 13372 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 1333780338 is about 36520.9575175679. The cubic root of 1333780338 is about 1100.7654006297.

The spelling of 1333780338 in words is "one billion, three hundred thirty-three million, seven hundred eighty thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 66 121 139 242 278 363 417 726 834 1529 3058 4587 9174 13217 16819 26434 33638 39651 50457 79302 100914 145387 290774 436161 872322 1599257 1837163 3198514 3674326 4797771 5511489 9595542 11022978 20208793 40417586 60626379 121252758 222296723 444593446 666890169 1333780338