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247934340 = 223252947497
BaseRepresentation
bin11101100011100…
…10110110000100
3122021112100222100
432301302312010
51001432344330
640334032100
76100256433
oct1661626604
9567470870
10247934340
11117a52815
126b048630
133c49b414
1424cdd11a
1516b77060
hexec72d84

247934340 has 72 divisors (see below), whose sum is σ = 778017240. Its totient is φ = 63834624.

The previous prime is 247934333. The next prime is 247934347. The reversal of 247934340 is 43439742.

247934340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (247934333) and next prime (247934347).

It can be written as a sum of positive squares in 4 ways, for example, as 77475204 + 170459136 = 8802^2 + 13056^2 .

It is a super-2 number, since 2×2479343402 = 122942873902471200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 247934295 and 247934304.

It is not an unprimeable number, because it can be changed into a prime (247934347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18529 + ... + 28968.

It is an arithmetic number, because the mean of its divisors is an integer number (10805795).

Almost surely, 2247934340 is an apocalyptic number.

247934340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

247934340 is an abundant number, since it is smaller than the sum of its proper divisors (530082900).

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

247934340 is a wasteful number, since it uses less digits than its factorization.

247934340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47541 (or 47536 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 247934340 is about 15745.9309029349. The cubic root of 247934340 is about 628.2206785268.

The spelling of 247934340 in words is "two hundred forty-seven million, nine hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 47497 94994 142491 189988 237485 284982 427473 474970 569964 712455 854946 949940 1377413 1424910 1709892 2137365 2754826 2849820 4132239 4274730 5509652 6887065 8264478 8549460 12396717 13774130 16528956 20661195 24793434 27548260 41322390 49586868 61983585 82644780 123967170 247934340