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1345103214 = 2372131918523
BaseRepresentation
bin101000000101100…
…1010010101101110
310110202001022201120
41100023022111232
510223321300324
6341250121410
745222121500
oct12013122556
93422038646
101345103214
11630303a54
12316580266
1318589a580
14ca901d70
157d14e179
hex502ca56e

1345103214 has 96 divisors (see below), whose sum is σ = 3547716480. Its totient is φ = 336063168.

The previous prime is 1345103213. The next prime is 1345103281. The reversal of 1345103214 is 4123015431.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345103213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63357 + ... + 81879.

It is an arithmetic number, because the mean of its divisors is an integer number (36955380).

Almost surely, 21345103214 is an apocalyptic number.

1345103214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345103214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773858240).

1345103214 is an abundant number, since it is smaller than the sum of its proper divisors (2202613266).

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

1345103214 is a wasteful number, since it uses less digits than its factorization.

1345103214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18574 (or 18567 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1345103214 is about 36675.6487877174. The cubic root of 1345103214 is about 1103.8715407270.

Adding to 1345103214 its reverse (4123015431), we get a palindrome (5468118645).

The spelling of 1345103214 in words is "one billion, three hundred forty-five million, one hundred three thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 49 57 78 91 98 114 133 147 182 247 266 273 294 399 494 546 637 741 798 931 1274 1482 1729 1862 1911 2793 3458 3822 5187 5586 10374 12103 18523 24206 36309 37046 55569 72618 111138 129661 240799 259322 351937 388983 481598 703874 722397 777966 907627 1055811 1444794 1685593 1815254 2111622 2463559 2722881 3371186 4575181 4927118 5056779 5445762 7390677 9150362 10113558 11799151 13725543 14781354 17244913 23598302 27451086 32026267 34489826 35397453 51734739 64052534 70794906 96078801 103469478 192157602 224183869 448367738 672551607 1345103214