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150354414 = 2337397763
BaseRepresentation
bin10001111011000…
…11100111101110
3101110220210111000
420331203213232
5301442320124
622530341130
73503664030
oct1075434756
9343823430
10150354414
1177964551
124242a7a6
13251c4312
1415d7bc50
15d2ee6c9
hex8f639ee

150354414 has 32 divisors (see below), whose sum is σ = 381853440. Its totient is φ = 42958296.

The previous prime is 150354403. The next prime is 150354431. The reversal of 150354414 is 414453051.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198504 + ... + 199259.

It is an arithmetic number, because the mean of its divisors is an integer number (11932920).

Almost surely, 2150354414 is an apocalyptic number.

150354414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

150354414 is an abundant number, since it is smaller than the sum of its proper divisors (231499026).

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

150354414 is a wasteful number, since it uses less digits than its factorization.

150354414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397781 (or 397775 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 150354414 is about 12261.9090683303. The cubic root of 150354414 is about 531.7474233037.

The spelling of 150354414 in words is "one hundred fifty million, three hundred fifty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 397763 795526 1193289 2386578 2784341 3579867 5568682 7159734 8353023 10739601 16706046 21479202 25059069 50118138 75177207 150354414