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1343034240 = 27354431579
BaseRepresentation
bin101000000001101…
…0001001110000000
310110121011012121220
41100003101032000
510222304043430
6341133515040
745165413502
oct12003211600
93417135556
101343034240
1162a120559
12315942a80
13185324922
14ca523d72
157cd91110
hex500d1380

1343034240 has 128 divisors (see below), whose sum is σ = 4293302400. Its totient is φ = 357107712.

The previous prime is 1343034233. The next prime is 1343034241. The reversal of 1343034240 is 424303431.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1343034240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1343034241) 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, 849771 + ... + 851349.

It is an arithmetic number, because the mean of its divisors is an integer number (33541425).

Almost surely, 21343034240 is an apocalyptic number.

1343034240 is a gapful number since it is divisible by the number (10) 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 1343034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146651200).

1343034240 is an abundant number, since it is smaller than the sum of its proper divisors (2950268160).

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

1343034240 is a wasteful number, since it uses less digits than its factorization.

1343034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 1343034240 is about 36647.4315607520. The cubic root of 1343034240 is about 1103.3052760020.

Adding to 1343034240 its reverse (424303431), we get a palindrome (1767337671).

The spelling of 1343034240 in words is "one billion, three hundred forty-three million, thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 443 480 640 886 960 1329 1579 1772 1920 2215 2658 3158 3544 4430 4737 5316 6316 6645 7088 7895 8860 9474 10632 12632 13290 14176 15790 17720 18948 21264 23685 25264 26580 28352 31580 35440 37896 42528 47370 50528 53160 56704 63160 70880 75792 85056 94740 101056 106320 126320 141760 151584 170112 189480 202112 212640 252640 283520 303168 378960 425280 505280 606336 699497 757920 850560 1010560 1398994 1515840 2098491 2797988 3031680 3497485 4196982 5595976 6994970 8393964 10492455 11191952 13989940 16787928 20984910 22383904 27979880 33575856 41969820 44767808 55959760 67151712 83939640 89535616 111919520 134303424 167879280 223839040 268606848 335758560 447678080 671517120 1343034240