Search a number
-
+
253100344 = 23773101613
BaseRepresentation
bin11110001011000…
…00000100111000
3122122020211101211
433011200010320
51004243202334
641040452504
76162213610
oct1705400470
9578224354
10253100344
1111a961042
127091a134
1340589923
1425885a40
1517347a64
hexf160138

253100344 has 64 divisors (see below), whose sum is σ = 556136640. Its totient is φ = 105753600.

The previous prime is 253100333. The next prime is 253100347. The reversal of 253100344 is 443001352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253100347) 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 15 ways as a sum of consecutive naturals, for example, 412582 + ... + 413194.

It is an arithmetic number, because the mean of its divisors is an integer number (8689635).

Almost surely, 2253100344 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 253100344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278068320).

253100344 is an abundant number, since it is smaller than the sum of its proper divisors (303036296).

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

253100344 is a wasteful number, since it uses less digits than its factorization.

253100344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 253100344 is about 15909.1276945029. The cubic root of 253100344 is about 632.5539593703.

Adding to 253100344 its reverse (443001352), we get a palindrome (696101696).

The spelling of 253100344 in words is "two hundred fifty-three million, one hundred thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 73 101 146 202 292 404 511 584 613 707 808 1022 1226 1414 2044 2452 2828 4088 4291 4904 5656 7373 8582 14746 17164 29492 34328 44749 51611 58984 61913 89498 103222 123826 178996 206444 247652 313243 357992 412888 433391 495304 626486 866782 1252972 1733564 2505944 3467128 4519649 9039298 18078596 31637543 36157192 63275086 126550172 253100344