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511214340 = 223571393629
BaseRepresentation
bin11110011110001…
…000001100000100
31022121221101020110
4132132020030010
52021332324330
6122421033020
715445151550
oct3636101404
91277841213
10511214340
1124262699a
12123255770
1381bb05c0
144bc74860
152ed30db0
hex1e788304

511214340 has 96 divisors (see below), whose sum is σ = 1761742080. Its totient is φ = 107859456.

The previous prime is 511214279. The next prime is 511214351. The reversal of 511214340 is 43412115.

It is a super-4 number, since 4×5112143404 (a number of 36 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41355 + ... + 52274.

It is an arithmetic number, because the mean of its divisors is an integer number (18351480).

Almost surely, 2511214340 is an apocalyptic number.

It is an amenable number.

511214340 is an abundant number, since it is smaller than the sum of its proper divisors (1250527740).

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

511214340 is a wasteful number, since it uses less digits than its factorization.

511214340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93661 (or 93659 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 511214340 is about 22610.0495355495. The cubic root of 511214340 is about 799.5905926011.

Adding to 511214340 its reverse (43412115), we get a palindrome (554626455).

The spelling of 511214340 in words is "five hundred eleven million, two hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 5460 93629 187258 280887 374516 468145 561774 655403 936290 1123548 1217177 1310806 1404435 1872580 1966209 2434354 2621612 2808870 3277015 3651531 3932418 4868708 5617740 6085885 6554030 7303062 7864836 8520239 9831045 12171770 13108060 14606124 17040478 18257655 19662090 24343540 25560717 34080956 36515310 39324180 42601195 51121434 73030620 85202390 102242868 127803585 170404780 255607170 511214340