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320144244 = 223721393917
BaseRepresentation
bin10011000101010…
…000001101110100
3211022102000100020
4103011100031310
51123424103434
651433445140
710635116100
oct2305201564
9738360306
10320144244
11154793122
128b2707b0
1351431a84
1430738900
151d18c849
hex13150374

320144244 has 72 divisors (see below), whose sum is σ = 875437920. Its totient is φ = 90788544.

The previous prime is 320144189. The next prime is 320144249. The reversal of 320144244 is 442441023.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320144249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79774 + ... + 83690.

It is an arithmetic number, because the mean of its divisors is an integer number (12158860).

Almost surely, 2320144244 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 320144244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437718960).

320144244 is an abundant number, since it is smaller than the sum of its proper divisors (555293676).

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

320144244 is a wasteful number, since it uses less digits than its factorization.

320144244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4077 (or 4068 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 320144244 is about 17892.5751081280. The cubic root of 320144244 is about 684.0931356369.

Adding to 320144244 its reverse (442441023), we get a palindrome (762585267).

The spelling of 320144244 in words is "three hundred twenty million, one hundred forty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 139 147 196 278 294 417 556 588 834 973 1668 1946 2919 3892 3917 5838 6811 7834 11676 11751 13622 15668 20433 23502 27244 27419 40866 47004 54838 81732 82257 109676 164514 191933 329028 383866 544463 575799 767732 1088926 1151598 1633389 2177852 2303196 3266778 3811241 6533556 7622482 11433723 15244964 22867446 26678687 45734892 53357374 80036061 106714748 160072122 320144244