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253343744 = 2111031201
BaseRepresentation
bin11110001100110…
…11100000000000
3122122201012021122
433012123200000
51004323444434
641050011412
76164246333
oct1706334000
9578635248
10253343744
111200079a5
1270a16b68
1340643654
142590a61a
1517394c2e
hexf19b800

253343744 has 48 divisors (see below), whose sum is σ = 511907760. Its totient is φ = 125337600.

The previous prime is 253343743. The next prime is 253343789. The reversal of 253343744 is 447343352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253343743) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 210344 + ... + 211544.

It is an arithmetic number, because the mean of its divisors is an integer number (10664745).

Almost surely, 2253343744 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 253343744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255953880).

253343744 is an abundant number, since it is smaller than the sum of its proper divisors (258564016).

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

253343744 is a wasteful number, since it uses less digits than its factorization.

253343744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1306 counting only the distinct ones).

The product of its digits is 120960, while the sum is 35.

The square root of 253343744 is about 15916.7755528562. The cubic root of 253343744 is about 632.7566646207.

The spelling of 253343744 in words is "two hundred fifty-three million, three hundred forty-three thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 64 103 128 206 256 412 512 824 1024 1201 1648 2048 2402 3296 4804 6592 9608 13184 19216 26368 38432 52736 76864 105472 123703 153728 210944 247406 307456 494812 614912 989624 1229824 1979248 2459648 3958496 7916992 15833984 31667968 63335936 126671872 253343744