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238320096 = 2537354643
BaseRepresentation
bin11100011010001…
…11100111100000
3121121102220201020
432031013213200
5442002220341
635352005440
75622454530
oct1615074740
9547386636
10238320096
11112586463
1267990880
133a4b3311
14239194c0
1515dc8566
hexe3479e0

238320096 has 48 divisors (see below), whose sum is σ = 714962304. Its totient is φ = 68091264.

The previous prime is 238320083. The next prime is 238320119. The reversal of 238320096 is 690023832.

238320096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176650 + ... + 177993.

It is an arithmetic number, because the mean of its divisors is an integer number (14895048).

Almost surely, 2238320096 is an apocalyptic number.

It is an amenable number.

238320096 is an abundant number, since it is smaller than the sum of its proper divisors (476642208).

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

238320096 is a wasteful number, since it uses less digits than its factorization.

238320096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354663 (or 354655 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 238320096 is about 15437.6195056103. The cubic root of 238320096 is about 619.9931459527.

The spelling of 238320096 in words is "two hundred thirty-eight million, three hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 354643 709286 1063929 1418572 2127858 2482501 2837144 4255716 4965002 5674288 7447503 8511432 9930004 11348576 14895006 17022864 19860008 29790012 34045728 39720016 59580024 79440032 119160048 238320096