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273478304 = 251153107137
BaseRepresentation
bin10000010011001…
…111001010100000
3201001121010201002
4100103033022200
51030002301204
643045331132
76530345561
oct2023171240
9631533632
10273478304
1113040a330
1277706aa8
13448730a8
142846c168
151902091e
hex104cf2a0

273478304 has 96 divisors (see below), whose sum is σ = 608440896. Its totient is φ = 119941120.

The previous prime is 273478243. The next prime is 273478319. The reversal of 273478304 is 403874372.

Added to its reverse (403874372) it gives a square (677352676 = 260262).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1996124 + ... + 1996260.

It is an arithmetic number, because the mean of its divisors is an integer number (6337926).

Almost surely, 2273478304 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 273478304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304220448).

273478304 is an abundant number, since it is smaller than the sum of its proper divisors (334962592).

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

273478304 is a wasteful number, since it uses less digits than its factorization.

273478304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 38.

The square root of 273478304 is about 16537.1794451170. The cubic root of 273478304 is about 649.0940467681.

Adding to 273478304 its reverse (403874372), we get a square (677352676 = 260262).

The spelling of 273478304 in words is "two hundred seventy-three million, four hundred seventy-eight thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 53 88 106 107 137 176 212 214 274 352 424 428 548 583 848 856 1096 1166 1177 1507 1696 1712 2192 2332 2354 3014 3424 4384 4664 4708 5671 6028 7261 9328 9416 11342 12056 14522 14659 18656 18832 22684 24112 29044 29318 37664 45368 48224 58088 58636 62381 79871 90736 116176 117272 124762 159742 161249 181472 232352 234544 249524 319484 322498 469088 499048 638968 644996 776927 998096 1277936 1289992 1553854 1996192 2555872 2579984 3107708 5159968 6215416 8546197 12430832 17092394 24861664 34184788 68369576 136739152 273478304