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1342352430 = 2325472711171
BaseRepresentation
bin101000000000010…
…1010110000101110
310110112212120100200
41100000222300232
510222120234210
6341111134330
745156543636
oct12000526056
93415776320
101342352430
116297a5281
123156743a6
131851464a3
14ca3c76c6
157cca90c0
hex5002ac2e

1342352430 has 96 divisors (see below), whose sum is σ = 3580581888. Its totient is φ = 348753600.

The previous prime is 1342352387. The next prime is 1342352449. The reversal of 1342352430 is 342532431.

1342352430 is a `hidden beast` number, since 134 + 2 + 3 + 524 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1342352394 and 1342352403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1145745 + ... + 1146915.

It is an arithmetic number, because the mean of its divisors is an integer number (37297728).

Almost surely, 21342352430 is an apocalyptic number.

1342352430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1342352430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790290944).

1342352430 is an abundant number, since it is smaller than the sum of its proper divisors (2238229458).

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

1342352430 is a wasteful number, since it uses less digits than its factorization.

1342352430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 1342352430 is about 36638.1280908291. The cubic root of 1342352430 is about 1103.1185416459.

Adding to 1342352430 its reverse (342532431), we get a palindrome (1684884861).

The spelling of 1342352430 in words is "one billion, three hundred forty-two million, three hundred fifty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 141 235 271 282 423 470 542 705 813 846 1171 1355 1410 1626 2115 2342 2439 2710 3513 4065 4230 4878 5855 7026 8130 10539 11710 12195 12737 17565 21078 24390 25474 35130 38211 52695 55037 63685 76422 105390 110074 114633 127370 165111 191055 229266 275185 317341 330222 382110 495333 550370 573165 634682 825555 952023 990666 1146330 1586705 1651110 1904046 2476665 2856069 3173410 4760115 4953330 5712138 9520230 14280345 14915027 28560690 29830054 44745081 74575135 89490162 134235243 149150270 223725405 268470486 447450810 671176215 1342352430