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1320214434 = 237118334429
BaseRepresentation
bin100111010110000…
…1101111110100010
310102000012211201220
41032230031332202
510200433330214
6335000435510
744500431450
oct11654157642
93360184656
101320214434
11618254710
1230a178b96
13180694b96
14c74a39d0
157ad849a9
hex4eb0dfa2

1320214434 has 64 divisors (see below), whose sum is σ = 3331722240. Its totient is φ = 338771520.

The previous prime is 1320214433. The next prime is 1320214447. The reversal of 1320214434 is 4344120231.

It is not an unprimeable number, because it can be changed into a prime (1320214433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21132 + ... + 55560.

It is an arithmetic number, because the mean of its divisors is an integer number (52058160).

Almost surely, 21320214434 is an apocalyptic number.

1320214434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320214434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665861120).

1320214434 is an abundant number, since it is smaller than the sum of its proper divisors (2011507806).

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

1320214434 is a wasteful number, since it uses less digits than its factorization.

1320214434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34535.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1320214434 is about 36334.7551801302. The cubic root of 1320214434 is about 1097.0207077252.

Adding to 1320214434 its reverse (4344120231), we get a palindrome (5664334665).

The spelling of 1320214434 in words is "one billion, three hundred twenty million, two hundred fourteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 83 154 166 231 249 462 498 581 913 1162 1743 1826 2739 3486 5478 6391 12782 19173 34429 38346 68858 103287 206574 241003 378719 482006 723009 757438 1136157 1446018 2272314 2651033 2857607 5302066 5715214 7953099 8572821 15906198 17145642 20003249 31433677 40006498 60009747 62867354 94301031 120019494 188602062 220035739 440071478 660107217 1320214434