Search a number
-
+
269840384 = 2121153113
BaseRepresentation
bin10000000101010…
…111000000000000
3200210202022102022
4100011113000000
51023034343014
642435341012
76454414442
oct2005270000
9623668368
10269840384
11129355090
1276451768
1343b9b288
1427ba2492
1518a52a8e
hex10157000

269840384 has 104 divisors (see below), whose sum is σ = 605085552. Its totient is φ = 119275520.

The previous prime is 269840377. The next prime is 269840419. The reversal of 269840384 is 483048962.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2387912 + ... + 2388024.

Almost surely, 2269840384 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 269840384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302542776).

269840384 is an abundant number, since it is smaller than the sum of its proper divisors (335245168).

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

269840384 is a wasteful number, since it uses less digits than its factorization.

269840384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The square root of 269840384 is about 16426.8190469123. The cubic root of 269840384 is about 646.2030181081.

The spelling of 269840384 in words is "two hundred sixty-nine million, eight hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 106 113 128 176 212 226 256 352 424 452 512 583 704 848 904 1024 1166 1243 1408 1696 1808 2048 2332 2486 2816 3392 3616 4096 4664 4972 5632 5989 6784 7232 9328 9944 11264 11978 13568 14464 18656 19888 22528 23956 27136 28928 37312 39776 45056 47912 54272 57856 65879 74624 79552 95824 108544 115712 131758 149248 159104 191648 217088 231424 263516 298496 318208 383296 462848 527032 596992 636416 766592 1054064 1193984 1272832 1533184 2108128 2387968 2545664 3066368 4216256 5091328 6132736 8432512 12265472 16865024 24530944 33730048 67460096 134920192 269840384