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1302434420 = 225719659743
BaseRepresentation
bin100110110100001…
…1001001001110100
310100202202112010212
41031220121021310
510131410400140
6333123404552
744163336620
oct11550311164
93322675125
101302434420
11609210291
12304223758
13179aab071
14c4d96180
1579521765
hex4da19274

1302434420 has 96 divisors (see below), whose sum is σ = 3299788800. Its totient is φ = 421835904.

The previous prime is 1302434407. The next prime is 1302434429. The reversal of 1302434420 is 244342031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1302434429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1752569 + ... + 1753311.

It is an arithmetic number, because the mean of its divisors is an integer number (34372800).

Almost surely, 21302434420 is an apocalyptic number.

1302434420 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 1302434420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649894400).

1302434420 is an abundant number, since it is smaller than the sum of its proper divisors (1997354380).

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

1302434420 is a wasteful number, since it uses less digits than its factorization.

1302434420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 1302434420 is about 36089.2562960225. The cubic root of 1302434420 is about 1092.0737168857.

Adding to 1302434420 its reverse (244342031), we get a palindrome (1546776451).

The spelling of 1302434420 in words is "one billion, three hundred two million, four hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 659 665 743 1318 1330 1486 2636 2660 2972 3295 3715 4613 5201 6590 7430 9226 10402 12521 13180 14117 14860 18452 20804 23065 25042 26005 28234 46130 50084 52010 56468 62605 70585 87647 92260 98819 104020 125210 141170 175294 197638 250420 282340 350588 395276 438235 489637 494095 876470 979274 988190 1752940 1958548 1976380 2448185 3427459 4896370 6854918 9303103 9792740 13709836 17137295 18606206 34274590 37212412 46515515 65121721 68549180 93031030 130243442 186062060 260486884 325608605 651217210 1302434420