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1314420432 = 2431313191597
BaseRepresentation
bin100111001011000…
…0111011011010000
310101121022110212020
41032112013123100
510142442423212
6334232331440
744400250353
oct11626073320
93347273766
101314420432
11614a57586
12308243b80
1317c416890
14c67d629a
157a5dcd8c
hex4e5876d0

1314420432 has 80 divisors (see below), whose sum is σ = 3661848960. Its totient is φ = 403877376.

The previous prime is 1314420343. The next prime is 1314420439. The reversal of 1314420432 is 2340244131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314420439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 822258 + ... + 823854.

It is an arithmetic number, because the mean of its divisors is an integer number (45773112).

Almost surely, 21314420432 is an apocalyptic number.

1314420432 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 1314420432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830924480).

1314420432 is an abundant number, since it is smaller than the sum of its proper divisors (2347428528).

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

1314420432 is a wasteful number, since it uses less digits than its factorization.

1314420432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940 (or 2934 counting only the distinct ones).

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

The square root of 1314420432 is about 36254.9366569575. The cubic root of 1314420432 is about 1095.4135290962.

Adding to 1314420432 its reverse (2340244131), we get a palindrome (3654664563).

The spelling of 1314420432 in words is "one billion, three hundred fourteen million, four hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1319 1597 2638 3194 3957 4791 5276 6388 7914 9582 10552 12776 15828 17147 19164 20761 21104 25552 31656 34294 38328 41522 51441 62283 63312 68588 76656 83044 102882 124566 137176 166088 205764 249132 274352 332176 411528 498264 823056 996528 2106443 4212886 6319329 8425772 12638658 16851544 25277316 27383759 33703088 50554632 54767518 82151277 101109264 109535036 164302554 219070072 328605108 438140144 657210216 1314420432