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1343313400 = 2352111323613
BaseRepresentation
bin101000000010001…
…0101010111111000
310110121200101120011
41100010111113320
510222342012100
6341143511304
745200655412
oct12004252770
93417611504
101343313400
1162a2a1270
12315a58534
131853c1a00
14ca5979b2
157cde8bba
hex501155f8

1343313400 has 144 divisors (see below), whose sum is σ = 3690399960. Its totient is φ = 450777600.

The previous prime is 1343313373. The next prime is 1343313403. The reversal of 1343313400 is 43133431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1343313403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 369994 + ... + 373606.

Almost surely, 21343313400 is an apocalyptic number.

1343313400 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 1343313400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845199980).

1343313400 is an abundant number, since it is smaller than the sum of its proper divisors (2347086560).

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

1343313400 is a wasteful number, since it uses less digits than its factorization.

1343313400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3666 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 1343313400 is about 36651.2400881607. The cubic root of 1343313400 is about 1103.3817142029.

Adding to 1343313400 its reverse (43133431), we get a palindrome (1386446831).

It can be divided in two parts, 134331 and 3400, that added together give a palindrome (137731).

The spelling of 1343313400 in words is "one billion, three hundred forty-three million, three hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 13 20 22 25 26 40 44 50 52 55 65 88 100 104 110 130 143 169 200 220 260 275 286 325 338 440 520 550 572 650 676 715 845 1100 1144 1300 1352 1430 1690 1859 2200 2600 2860 3380 3575 3613 3718 4225 5720 6760 7150 7226 7436 8450 9295 14300 14452 14872 16900 18065 18590 28600 28904 33800 36130 37180 39743 46475 46969 72260 74360 79486 90325 92950 93938 144520 158972 180650 185900 187876 198715 234845 317944 361300 371800 375752 397430 469690 516659 610597 722600 794860 939380 993575 1033318 1174225 1221194 1589720 1878760 1987150 2066636 2348450 2442388 2583295 3052985 3974300 4133272 4696900 4884776 5166590 6105970 6716567 7948600 9393800 10333180 12211940 12916475 13433134 15264925 20666360 24423880 25832950 26866268 30529850 33582835 51665900 53732536 61059700 67165670 103331800 122119400 134331340 167914175 268662680 335828350 671656700 1343313400