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150034320 = 243251911091
BaseRepresentation
bin10001111000101…
…01011110010000
3101110022112101200
420330111132100
5301402044240
622515431200
73501161562
oct1074253620
9343275350
10150034320
1177766007
12422b5500
1325111707
1415cd7332
15d289930
hex8f15790

150034320 has 120 divisors (see below), whose sum is σ = 506967552. Its totient is φ = 39763200.

The previous prime is 150034301. The next prime is 150034321. The reversal of 150034320 is 23430051.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 150034293 and 150034302.

It is not an unprimeable number, because it can be changed into a prime (150034321) 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 23 ways as a sum of consecutive naturals, for example, 136975 + ... + 138065.

Almost surely, 2150034320 is an apocalyptic number.

150034320 is a gapful number since it is divisible by the number (10) 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 150034320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253483776).

150034320 is an abundant number, since it is smaller than the sum of its proper divisors (356933232).

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

150034320 is a wasteful number, since it uses less digits than its factorization.

150034320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 150034320 is about 12248.8497419145. The cubic root of 150034320 is about 531.3698042146.

Adding to 150034320 its reverse (23430051), we get a palindrome (173464371).

The spelling of 150034320 in words is "one hundred fifty million, thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 191 240 360 382 573 720 764 955 1091 1146 1528 1719 1910 2182 2292 2865 3056 3273 3438 3820 4364 4584 5455 5730 6546 6876 7640 8595 8728 9168 9819 10910 11460 13092 13752 15280 16365 17190 17456 19638 21820 22920 26184 27504 32730 34380 39276 43640 45840 49095 52368 65460 68760 78552 87280 98190 130920 137520 157104 196380 208381 261840 392760 416762 625143 785520 833524 1041905 1250286 1667048 1875429 2083810 2500572 3125715 3334096 3750858 4167620 5001144 6251430 7501716 8335240 9377145 10002288 12502860 15003432 16670480 18754290 25005720 30006864 37508580 50011440 75017160 150034320