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1346613340 = 225312777841
BaseRepresentation
bin101000001000011…
…1011000001011100
310110211220001020011
41100100323001130
510224213111330
6341342333004
745241011262
oct12020730134
93424801204
101346613340
11631145596
12316b8a164
13185ca8a37
14cabb6432
157d34b82a
hex5043b05c

1346613340 has 48 divisors (see below), whose sum is σ = 2930022144. Its totient is φ = 519321600.

The previous prime is 1346613337. The next prime is 1346613341. The reversal of 1346613340 is 433166431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1346613341) 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, 167820 + ... + 175660.

It is an arithmetic number, because the mean of its divisors is an integer number (61042128).

Almost surely, 21346613340 is an apocalyptic number.

1346613340 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 1346613340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465011072).

1346613340 is an abundant number, since it is smaller than the sum of its proper divisors (1583408804).

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

1346613340 is a wasteful number, since it uses less digits than its factorization.

1346613340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8158 (or 8156 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The square root of 1346613340 is about 36696.2305966158. The cubic root of 1346613340 is about 1104.2844859080.

Adding to 1346613340 its reverse (433166431), we get a palindrome (1779779771).

The spelling of 1346613340 in words is "one billion, three hundred forty-six million, six hundred thirteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 277 310 554 620 1108 1385 2770 5540 7841 8587 15682 17174 31364 34348 39205 42935 78410 85870 156820 171740 243071 486142 972284 1215355 2171957 2430710 4343914 4861420 8687828 10859785 21719570 43439140 67330667 134661334 269322668 336653335 673306670 1346613340