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150361340 = 22537613331
BaseRepresentation
bin10001111011001…
…01010011111100
3101110221010222112
420331211103330
5301443030330
622530433152
73504023153
oct1075452374
9343833875
10150361340
1177969778
12424327b8
13251c750c
1415d8059a
15d301795
hex8f654fc

150361340 has 48 divisors (see below), whose sum is σ = 329708064. Its totient is φ = 57542400.

The previous prime is 150361339. The next prime is 150361363. The reversal of 150361340 is 43163051.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43475 + ... + 46805.

It is an arithmetic number, because the mean of its divisors is an integer number (6868918).

Almost surely, 2150361340 is an apocalyptic number.

150361340 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 150361340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164854032).

150361340 is an abundant number, since it is smaller than the sum of its proper divisors (179346724).

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

150361340 is a wasteful number, since it uses less digits than its factorization.

150361340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3438 (or 3436 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 150361340 is about 12262.1914843963. The cubic root of 150361340 is about 531.7555880703.

The spelling of 150361340 in words is "one hundred fifty million, three hundred sixty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 61 74 122 148 185 244 305 370 610 740 1220 2257 3331 4514 6662 9028 11285 13324 16655 22570 33310 45140 66620 123247 203191 246494 406382 492988 616235 812764 1015955 1232470 2031910 2464940 4063820 7518067 15036134 30072268 37590335 75180670 150361340