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149303424 = 2732931327
BaseRepresentation
bin10001110011000…
…11000010000000
3101101221101210110
420321203002000
5301210202144
622452031320
73462025644
oct1071430200
9341841713
10149303424
1177306966
1242002540
1324c16b2a
1415b86c24
15d1930b9
hex8e63080

149303424 has 64 divisors (see below), whose sum is σ = 398240640. Its totient is φ = 49560576.

The previous prime is 149303423. The next prime is 149303431. The reversal of 149303424 is 424303941.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 149303391 and 149303400.

It is not an unprimeable number, because it can be changed into a prime (149303423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111849 + ... + 113175.

It is an arithmetic number, because the mean of its divisors is an integer number (6222510).

Almost surely, 2149303424 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 149303424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199120320).

149303424 is an abundant number, since it is smaller than the sum of its proper divisors (248937216).

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

149303424 is a wasteful number, since it uses less digits than its factorization.

149303424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 149303424 is about 12218.9780260053. The cubic root of 149303424 is about 530.5055387628.

The spelling of 149303424 in words is "one hundred forty-nine million, three hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 293 384 586 879 1172 1327 1758 2344 2654 3516 3981 4688 5308 7032 7962 9376 10616 14064 15924 18752 21232 28128 31848 37504 42464 56256 63696 84928 112512 127392 169856 254784 388811 509568 777622 1166433 1555244 2332866 3110488 4665732 6220976 9331464 12441952 18662928 24883904 37325856 49767808 74651712 149303424