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4314434240 = 26543313549
BaseRepresentation
bin1000000010010100…
…10000101011000000
3102010200100222010202
410001022100223000
532313443343430
61552041144332
7211626041324
oct40112205300
912120328122
104314434240
111914427336
12a04a8b0a8
13539b0448c
142cd003984
151a3b85d45
hex101290ac0

4314434240 has 56 divisors (see below), whose sum is σ = 10512704400. Its totient is φ = 1685634048.

The previous prime is 4314434239. The next prime is 4314434273. The reversal of 4314434240 is 424344134.

It is a happy number.

It is a super-2 number, since 2×43144342402 = 37228685622568755200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143015 + ... + 170534.

Almost surely, 24314434240 is an apocalyptic number.

4314434240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4314434240 is an abundant number, since it is smaller than the sum of its proper divisors (6198270160).

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

4314434240 is a wasteful number, since it uses less digits than its factorization.

4314434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313609 (or 313599 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

The square root of 4314434240 is about 65684.3530835160. The cubic root of 4314434240 is about 1627.9508343186.

Adding to 4314434240 its reverse (424344134), we get a palindrome (4738778374).

The spelling of 4314434240 in words is "four billion, three hundred fourteen million, four hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 160 172 215 320 344 430 688 860 1376 1720 2752 3440 6880 13760 313549 627098 1254196 1567745 2508392 3135490 5016784 6270980 10033568 12541960 13482607 20067136 25083920 26965214 50167840 53930428 67413035 100335680 107860856 134826070 215721712 269652140 431443424 539304280 862886848 1078608560 2157217120 4314434240