Search a number
-
+
273342816 = 25331916651
BaseRepresentation
bin10000010010101…
…110000101100000
3201001100020212000
4100102232011200
51024433432231
643042404000
76526242555
oct2022560540
9631306760
10273342816
1113032755a
1277660600
1344826516
1428434a2c
1518ee56e6
hex104ae160

273342816 has 96 divisors (see below), whose sum is σ = 839260800. Its totient is φ = 86313600.

The previous prime is 273342803. The next prime is 273342827. The reversal of 273342816 is 618243372.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8091 + ... + 24741.

It is an arithmetic number, because the mean of its divisors is an integer number (8742300).

Almost surely, 2273342816 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 273342816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419630400).

273342816 is an abundant number, since it is smaller than the sum of its proper divisors (565917984).

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

273342816 is a wasteful number, since it uses less digits than its factorization.

273342816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16689 (or 16675 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 273342816 is about 16533.0824712151. The cubic root of 273342816 is about 648.9868365797.

The spelling of 273342816 in words is "two hundred seventy-three million, three hundred forty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2736 4104 5472 8208 16416 16651 33302 49953 66604 99906 133208 149859 199812 266416 299718 316369 399624 449577 532832 599436 632738 799248 899154 949107 1198872 1265476 1598496 1798308 1898214 2397744 2530952 2847321 3596616 3796428 4795488 5061904 5694642 7193232 7592856 8541963 10123808 11389284 14386464 15185712 17083926 22778568 30371424 34167852 45557136 68335704 91114272 136671408 273342816