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1345255220 = 2251731312641
BaseRepresentation
bin101000000101110…
…1111011100110100
310110202100001020102
41100023233130310
510223341131340
6341253253232
745223323611
oct12013573464
93422301212
101345255220
116303a8181
12316634218
1318592180a
14ca941508
157d17e215
hex502ef734

1345255220 has 48 divisors (see below), whose sum is σ = 3001008528. Its totient is φ = 504791040.

The previous prime is 1345255217. The next prime is 1345255229. The reversal of 1345255220 is 225525431.

It can be written as a sum of positive squares in 8 ways, for example, as 508773136 + 836482084 = 22556^2 + 28922^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345255229) 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, 100100 + ... + 112740.

It is an arithmetic number, because the mean of its divisors is an integer number (62521011).

Almost surely, 21345255220 is an apocalyptic number.

1345255220 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 1345255220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500504264).

1345255220 is an abundant number, since it is smaller than the sum of its proper divisors (1655753308).

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

1345255220 is a wasteful number, since it uses less digits than its factorization.

1345255220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12980 (or 12978 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The square root of 1345255220 is about 36677.7210306202. The cubic root of 1345255220 is about 1103.9131208763.

The spelling of 1345255220 in words is "one billion, three hundred forty-five million, two hundred fifty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 313 340 626 1252 1565 3130 5321 6260 10642 12641 21284 25282 26605 50564 53210 63205 106420 126410 214897 252820 429794 859588 1074485 2148970 3956633 4297940 7913266 15826532 19783165 39566330 67262761 79132660 134525522 269051044 336313805 672627610 1345255220