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150346032 = 24323231191
BaseRepresentation
bin10001111011000…
…01100100110000
3101110220100222120
420331201210300
5301442033112
622530234240
73503630424
oct1075414460
9343810876
10150346032
1177959221
1242425980
13251c0565
1415d78b84
15d2ebe8c
hex8f61930

150346032 has 120 divisors (see below), whose sum is σ = 421306368. Its totient is φ = 46147200.

The previous prime is 150345971. The next prime is 150346033. The reversal of 150346032 is 230643051.

It is a happy number.

150346032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 150345993 and 150346011.

It is not an unprimeable number, because it can be changed into a prime (150346033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 787057 + ... + 787247.

Almost surely, 2150346032 is an apocalyptic number.

150346032 is a gapful number since it is divisible by the number (12) 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 150346032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210653184).

150346032 is an abundant number, since it is smaller than the sum of its proper divisors (270960336).

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

150346032 is a wasteful number, since it uses less digits than its factorization.

150346032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 150346032 is about 12261.5672733954. The cubic root of 150346032 is about 531.7375417853.

Adding to 150346032 its reverse (230643051), we get a palindrome (380989083).

The spelling of 150346032 in words is "one hundred fifty million, three hundred forty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 46 48 62 69 92 93 124 138 184 186 191 248 276 368 372 382 496 529 552 573 713 744 764 1058 1104 1146 1426 1488 1528 1587 2116 2139 2292 2852 3056 3174 4232 4278 4393 4584 5704 5921 6348 8464 8556 8786 9168 11408 11842 12696 13179 16399 17112 17572 17763 23684 25392 26358 32798 34224 35144 35526 47368 49197 52716 65596 70288 71052 94736 98394 101039 105432 131192 136183 142104 196788 202078 210864 262384 272366 284208 303117 393576 404156 408549 544732 606234 787152 808312 817098 1089464 1212468 1616624 1634196 2178928 2424936 3132209 3268392 4849872 6264418 6536784 9396627 12528836 18793254 25057672 37586508 50115344 75173016 150346032