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150345384 = 23373472579
BaseRepresentation
bin10001111011000…
…01011010101000
3101110220100002120
420331201122220
5301442023014
622530231240
73503625510
oct1075413250
9343810076
10150345384
1177958792
1242425520
13251c0187
1415d78840
15d2ebba9
hex8f616a8

150345384 has 64 divisors (see below), whose sum is σ = 430963200. Its totient is φ = 42815424.

The previous prime is 150345383. The next prime is 150345407. The reversal of 150345384 is 483543051.

It is not an unprimeable number, because it can be changed into a prime (150345383) by changing a digit.

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, 57007 + ... + 59585.

It is an arithmetic number, because the mean of its divisors is an integer number (6733800).

Almost surely, 2150345384 is an apocalyptic number.

150345384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150345384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215481600).

150345384 is an abundant number, since it is smaller than the sum of its proper divisors (280617816).

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

150345384 is a wasteful number, since it uses less digits than its factorization.

150345384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2942 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 150345384 is about 12261.5408493386. The cubic root of 150345384 is about 531.7367778444.

The spelling of 150345384 in words is "one hundred fifty million, three hundred forty-five thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 347 694 1041 1388 2082 2429 2579 2776 4164 4858 5158 7287 7737 8328 9716 10316 14574 15474 18053 19432 20632 29148 30948 36106 54159 58296 61896 72212 108318 144424 216636 433272 894913 1789826 2684739 3579652 5369478 6264391 7159304 10738956 12528782 18793173 21477912 25057564 37586346 50115128 75172692 150345384