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13419378 = 2337131271
BaseRepresentation
bin110011001100…
…001101110010
3221020202221000
4303030031302
511413410003
61155342430
7222030360
oct63141562
927222830
1013419378
1176361a5
1245b1a16
132a1b07b
141ad4630
1512a11a3
hexccc372

13419378 has 64 divisors (see below), whose sum is σ = 34467840. Its totient is φ = 3790800.

The previous prime is 13419361. The next prime is 13419379. The reversal of 13419378 is 87391431.

It is a happy number.

13419378 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13419379) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49383 + ... + 49653.

It is an arithmetic number, because the mean of its divisors is an integer number (538560).

Almost surely, 213419378 is an apocalyptic number.

13419378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13419378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17233920).

13419378 is an abundant number, since it is smaller than the sum of its proper divisors (21048462).

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

13419378 is a wasteful number, since it uses less digits than its factorization.

13419378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 414 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 13419378 is about 3663.2469204246. The cubic root of 13419378 is about 237.6352131261.

The spelling of 13419378 in words is "thirteen million, four hundred nineteen thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 131 189 262 271 378 393 542 786 813 917 1179 1626 1834 1897 2358 2439 2751 3537 3794 4878 5502 5691 7074 7317 8253 11382 14634 16506 17073 24759 34146 35501 49518 51219 71002 102438 106503 213006 248507 319509 497014 639018 745521 958527 1491042 1917054 2236563 4473126 6709689 13419378