Search a number
-
+
1334378892 = 22371117219263
BaseRepresentation
bin100111110001001…
…0000000110001100
310102222212110201110
41033202100012030
510213100111032
6340224212020
745032014320
oct11742200614
93388773643
101334378892
11625249680
12312a6a010
131835b4112
14c930d980
157c2317cc
hex4f89018c

1334378892 has 288 divisors, whose sum is σ = 4357140480. Its totient is φ = 307860480.

The previous prime is 1334378863. The next prime is 1334378893. The reversal of 1334378892 is 2988734331.

It is not an unprimeable number, because it can be changed into a prime (1334378893) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5073553 + ... + 5073815.

It is an arithmetic number, because the mean of its divisors is an integer number (15128960).

Almost surely, 21334378892 is an apocalyptic number.

1334378892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1334378892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2178570240).

1334378892 is an abundant number, since it is smaller than the sum of its proper divisors (3022761588).

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

1334378892 is a wasteful number, since it uses less digits than its factorization.

1334378892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 322 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 1334378892 is about 36529.1512630666. The cubic root of 1334378892 is about 1100.9300376844.

It can be divided in two parts, 13343 and 78892, that added together give a triangular number (92235 = T429).

The spelling of 1334378892 in words is "one billion, three hundred thirty-four million, three hundred seventy-eight thousand, eight hundred ninety-two".