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13419384 = 2331124621
BaseRepresentation
bin110011001100…
…001101111000
3221020202221020
4303030031320
511413410014
61155342440
7222030366
oct63141570
927222836
1013419384
117636200
1245b1a20
132a1b084
141ad4636
1512a11a9
hexccc378

13419384 has 48 divisors (see below), whose sum is σ = 36883560. Its totient is φ = 4065600.

The previous prime is 13419383. The next prime is 13419391. The reversal of 13419384 is 48391431.

13419384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13419383) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 594 + ... + 5214.

Almost surely, 213419384 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 13419384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18441780).

13419384 is an abundant number, since it is smaller than the sum of its proper divisors (23464176).

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

13419384 is a wasteful number, since it uses less digits than its factorization.

13419384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4652 (or 4637 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 13419384 is about 3663.2477393701. The cubic root of 13419384 is about 237.6352485428.

The spelling of 13419384 in words is "thirteen million, four hundred nineteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 4621 9242 13863 18484 27726 36968 50831 55452 101662 110904 152493 203324 304986 406648 559141 609972 1118282 1219944 1677423 2236564 3354846 4473128 6709692 13419384