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150023034 = 232761131149
BaseRepresentation
bin10001111000100…
…10101101111010
3101110021221220200
420330102231322
5301401214114
622515303030
73501113640
oct1074225572
9343257820
10150023034
1177758587
12422aaa76
1325109535
1415cd3190
15d286409
hex8f12b7a

150023034 has 96 divisors (see below), whose sum is σ = 383011200. Its totient is φ = 41558400.

The previous prime is 150023033. The next prime is 150023047. The reversal of 150023034 is 430320051.

150023034 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 150022998 and 150023016.

It is not an unprimeable number, because it can be changed into a prime (150023033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1006792 + ... + 1006940.

It is an arithmetic number, because the mean of its divisors is an integer number (3989700).

Almost surely, 2150023034 is an apocalyptic number.

150023034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150023034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191505600).

150023034 is an abundant number, since it is smaller than the sum of its proper divisors (232988166).

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

150023034 is a wasteful number, since it uses less digits than its factorization.

150023034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 353 counting only the distinct ones).

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

The square root of 150023034 is about 12248.3890369305. The cubic root of 150023034 is about 531.3564801743.

Adding to 150023034 its reverse (430320051), we get a palindrome (580343085).

The spelling of 150023034 in words is "one hundred fifty million, twenty-three thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 61 63 122 126 131 149 183 262 298 366 393 427 447 549 786 854 894 917 1043 1098 1179 1281 1341 1834 2086 2358 2562 2682 2751 3129 3843 5502 6258 7686 7991 8253 9089 9387 15982 16506 18178 18774 19519 23973 27267 39038 47946 54534 55937 58557 63623 71919 81801 111874 117114 127246 136633 143838 163602 167811 175671 190869 273266 335622 351342 381738 409899 503433 572607 819798 1006866 1145214 1190659 1229697 2381318 2459394 3571977 7143954 8334613 10715931 16669226 21431862 25003839 50007678 75011517 150023034