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144422304 = 25313313733
BaseRepresentation
bin10001001101110…
…11010110100000
3101001202102011020
420212323112200
5243433003204
622155245440
73402366165
oct1046732640
9331672136
10144422304
1174582684
1240449880
1323bc81b0
141527606c
15ca2bbd9
hex89bb5a0

144422304 has 96 divisors (see below), whose sum is σ = 421553664. Its totient is φ = 42992640.

The previous prime is 144422281. The next prime is 144422323. The reversal of 144422304 is 403224441.

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 (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36822 + ... + 40554.

It is an arithmetic number, because the mean of its divisors is an integer number (4391184).

Almost surely, 2144422304 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 144422304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210776832).

144422304 is an abundant number, since it is smaller than the sum of its proper divisors (277131360).

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

144422304 is a wasteful number, since it uses less digits than its factorization.

144422304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3790 (or 3782 counting only the distinct ones).

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

The square root of 144422304 is about 12017.5831180816. The cubic root of 144422304 is about 524.6601628343.

Adding to 144422304 its reverse (403224441), we get a palindrome (547646745).

The spelling of 144422304 in words is "one hundred forty-four million, four hundred twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 186 208 248 312 372 403 416 496 624 744 806 992 1209 1248 1488 1612 2418 2976 3224 3733 4836 6448 7466 9672 11199 12896 14932 19344 22398 29864 38688 44796 48529 59728 89592 97058 115723 119456 145587 179184 194116 231446 291174 347169 358368 388232 462892 582348 694338 776464 925784 1164696 1388676 1504399 1552928 1851568 2329392 2777352 3008798 3703136 4513197 4658784 5554704 6017596 9026394 11109408 12035192 18052788 24070384 36105576 48140768 72211152 144422304