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1341434112 = 2833747207
BaseRepresentation
bin100111111110100…
…1010100100000000
310110111010220122220
41033331022210000
510221401342422
6341035331040
745146000424
oct11775124400
93414126586
101341434112
11629228337
123152b0a80
13184bb44c5
14ca228b84
157cb76e5c
hex4ff4a900

1341434112 has 72 divisors (see below), whose sum is σ = 3666739776. Its totient is φ = 435050496.

The previous prime is 1341434111. The next prime is 1341434117. The reversal of 1341434112 is 2114341431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1341434111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4813 + ... + 52019.

Almost surely, 21341434112 is an apocalyptic number.

1341434112 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 1341434112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833369888).

1341434112 is an abundant number, since it is smaller than the sum of its proper divisors (2325305664).

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

1341434112 is an equidigital number, since it uses as much as digits as its factorization.

1341434112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47263 (or 47249 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 1341434112 is about 36625.5936743693. The cubic root of 1341434112 is about 1102.8669324354.

Adding to 1341434112 its reverse (2114341431), we get a palindrome (3455775543).

The spelling of 1341434112 in words is "one billion, three hundred forty-one million, four hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 592 768 888 1184 1776 2368 3552 4736 7104 9472 14208 28416 47207 94414 141621 188828 283242 377656 566484 755312 1132968 1510624 1746659 2265936 3021248 3493318 4531872 5239977 6042496 6986636 9063744 10479954 12084992 13973272 18127488 20959908 27946544 36254976 41919816 55893088 83839632 111786176 167679264 223572352 335358528 447144704 670717056 1341434112