Search a number
-
+
270377472 = 2931031709
BaseRepresentation
bin10000000111011…
…010001000000000
3200211202121011110
4100013122020000
51023204034342
642455043320
76462112341
oct2007321000
9624677143
10270377472
11129691662
1276670540
1344028891
1427ca20c8
1518b0bc9c
hex101da200

270377472 has 80 divisors (see below), whose sum is σ = 727721280. Its totient is φ = 89198592.

The previous prime is 270377453. The next prime is 270377477. The reversal of 270377472 is 274773072.

It is a super-3 number, since 3×2703774723 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 270377472.

It is not an unprimeable number, because it can be changed into a prime (270377477) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157354 + ... + 159062.

It is an arithmetic number, because the mean of its divisors is an integer number (9096516).

Almost surely, 2270377472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270377472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363860640).

270377472 is an abundant number, since it is smaller than the sum of its proper divisors (457343808).

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

270377472 is a wasteful number, since it uses less digits than its factorization.

270377472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 115248, while the sum is 39.

The square root of 270377472 is about 16443.1588206159. The cubic root of 270377472 is about 646.6314663000.

The spelling of 270377472 in words is "two hundred seventy million, three hundred seventy-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 256 309 384 412 512 618 768 824 1236 1536 1648 1709 2472 3296 3418 4944 5127 6592 6836 9888 10254 13184 13672 19776 20508 26368 27344 39552 41016 52736 54688 79104 82032 109376 158208 164064 176027 218752 328128 352054 437504 528081 656256 704108 875008 1056162 1312512 1408216 2112324 2625024 2816432 4224648 5632864 8449296 11265728 16898592 22531456 33797184 45062912 67594368 90125824 135188736 270377472