Search a number
-
+
270404316 = 2232713591399
BaseRepresentation
bin10000000111100…
…000101011011100
3200211210221222200
4100013200223130
51023210414231
642455411500
76462253530
oct2007405334
9624727880
10270404316
111296aa846
1276683b90
1344037b70
1427cabbc0
1518b14be6
hex101e0adc

270404316 has 144 divisors (see below), whose sum is σ = 856128000. Its totient is φ = 70056576.

The previous prime is 270404311. The next prime is 270404341. The reversal of 270404316 is 613404072.

It is a super-2 number, since 2×2704043162 = 146236988222855712, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 270404316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270404311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192585 + ... + 193983.

Almost surely, 2270404316 is an apocalyptic number.

270404316 is a gapful number since it is divisible by the number (26) 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 270404316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428064000).

270404316 is an abundant number, since it is smaller than the sum of its proper divisors (585723684).

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

270404316 is a wasteful number, since it uses less digits than its factorization.

270404316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 270404316 is about 16443.9750668748. The cubic root of 270404316 is about 646.6528655195.

Adding to 270404316 its reverse (613404072), we get a palindrome (883808388).

The spelling of 270404316 in words is "two hundred seventy million, four hundred four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 59 63 78 84 91 117 118 126 156 177 182 234 236 252 273 354 364 413 468 531 546 708 767 819 826 1062 1092 1239 1399 1534 1638 1652 2124 2301 2478 2798 3068 3276 3717 4197 4602 4956 5369 5596 6903 7434 8394 9204 9793 10738 12591 13806 14868 16107 16788 18187 19586 21476 25182 27612 29379 32214 36374 39172 48321 50364 54561 58758 64428 72748 82541 88137 96642 109122 117516 127309 163683 165082 176274 193284 218244 247623 254618 327366 330164 352548 381927 495246 509236 577787 654732 742869 763854 990492 1073033 1145781 1155574 1485738 1527708 1733361 2146066 2291562 2311148 2971476 3219099 3466722 4292132 4583124 5200083 6438198 6933444 7511231 9657297 10400166 12876396 15022462 19314594 20800332 22533693 30044924 38629188 45067386 67601079 90134772 135202158 270404316