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150344064 = 27321310039
BaseRepresentation
bin10001111011000…
…01000110000000
3101110220021021200
420331201012000
5301442002224
622530221200
73503621613
oct1075410600
9343807250
10150344064
11779577a2
1242424800
13251bc6b0
1415d7817a
15d2eb5c9
hex8f61180

150344064 has 96 divisors (see below), whose sum is σ = 465956400. Its totient is φ = 46255104.

The previous prime is 150344063. The next prime is 150344071. The reversal of 150344064 is 460443051.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150344063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9957 + ... + 19995.

Almost surely, 2150344064 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 150344064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232978200).

150344064 is an abundant number, since it is smaller than the sum of its proper divisors (315612336).

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

150344064 is a wasteful number, since it uses less digits than its factorization.

150344064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10072 (or 10057 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 150344064 is about 12261.4870223803. The cubic root of 150344064 is about 531.7352216619.

The spelling of 150344064 in words is "one hundred fifty million, three hundred forty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 10039 14976 20078 30117 40156 60234 80312 90351 120468 130507 160624 180702 240936 261014 321248 361404 391521 481872 522028 642496 722808 783042 963744 1044056 1174563 1284992 1445616 1566084 1927488 2088112 2349126 2891232 3132168 3854976 4176224 4698252 5782464 6264336 8352448 9396504 11564928 12528672 16704896 18793008 25057344 37586016 50114688 75172032 150344064