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150716034 = 23272115669
BaseRepresentation
bin10001111101110…
…11111010000010
3101111121011112100
420332323322002
5302040403114
622542211230
73510031230
oct1076737202
9344534470
10150716034
1178091207
1242583b16
13252bcab1
1416033950
15d371909
hex8fbbe82

150716034 has 48 divisors (see below), whose sum is σ = 375036480. Its totient is φ = 42850080.

The previous prime is 150716011. The next prime is 150716039. The reversal of 150716034 is 430617051.

150716034 is a `hidden beast` number, since 1 + 50 + 7 + 1 + 603 + 4 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 150715989 and 150716007.

It is not an unprimeable number, because it can be changed into a prime (150716039) 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, 23752 + ... + 29420.

It is an arithmetic number, because the mean of its divisors is an integer number (7813260).

Almost surely, 2150716034 is an apocalyptic number.

150716034 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 150716034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187518240).

150716034 is an abundant number, since it is smaller than the sum of its proper divisors (224320446).

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

150716034 is a wasteful number, since it uses less digits than its factorization.

150716034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5895 (or 5892 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 150716034 is about 12276.6458774374. The cubic root of 150716034 is about 532.1733869615.

The spelling of 150716034 in words is "one hundred fifty million, seven hundred sixteen thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 211 422 633 1266 1477 1899 2954 3798 4431 5669 8862 11338 13293 17007 26586 34014 39683 51021 79366 102042 119049 238098 357147 714294 1196159 2392318 3588477 7176954 8373113 10765431 16746226 21530862 25119339 50238678 75358017 150716034