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1430145340 = 22513131199211
BaseRepresentation
bin101010100111110…
…0100100100111100
310200200001220120221
41111033210210330
510412104122330
6353524551124
750304014641
oct12517444474
93620056527
101430145340
116743093a8
1233ab524a4
1319a3a4960
14d7d1bdc8
158584bb7a
hex553e493c

1430145340 has 96 divisors (see below), whose sum is σ = 3290918400. Its totient is φ = 518918400.

The previous prime is 1430145287. The next prime is 1430145347. The reversal of 1430145340 is 435410341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1430145347) 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, 6777835 + ... + 6778045.

It is an arithmetic number, because the mean of its divisors is an integer number (34280400).

Almost surely, 21430145340 is an apocalyptic number.

1430145340 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 1430145340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645459200).

1430145340 is an abundant number, since it is smaller than the sum of its proper divisors (1860773060).

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

1430145340 is a wasteful number, since it uses less digits than its factorization.

1430145340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 1430145340 is about 37817.2624604161. The cubic root of 1430145340 is about 1126.6613386690.

Adding to 1430145340 its reverse (435410341), we get a palindrome (1865555681).

The spelling of 1430145340 in words is "one billion, four hundred thirty million, one hundred forty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 131 199 211 260 262 398 422 524 655 796 844 995 1055 1310 1703 1990 2110 2587 2620 2743 3406 3980 4220 5174 5486 6812 8515 10348 10972 12935 13715 17030 25870 26069 27430 27641 34060 41989 51740 52138 54860 55282 83978 104276 110564 130345 138205 167956 209945 260690 276410 338897 359333 419890 521380 545857 552820 677794 718666 839780 1091714 1355588 1437332 1694485 1796665 2183428 2729285 3388970 3593330 5458570 5500559 6777940 7186660 10917140 11001118 22002236 27502795 55005590 71507267 110011180 143014534 286029068 357536335 715072670 1430145340