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301342912 = 2613362191
BaseRepresentation
bin10001111101100…
…010000011000000
3210000000210202121
4101331202003000
51104120433122
645522454024
710316241523
oct2175420300
9700023677
10301342912
11145111432
1284b04314
134a57b120
142c042bba
151b6c6bc7
hex11f620c0

301342912 has 28 divisors (see below), whose sum is σ = 643977376. Its totient is φ = 139080960.

The previous prime is 301342891. The next prime is 301342927. The reversal of 301342912 is 219243103.

It is a super-3 number, since 3×3013429123 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 180264 + ... + 181927.

It is an arithmetic number, because the mean of its divisors is an integer number (22999192).

Almost surely, 2301342912 is an apocalyptic number.

301342912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

301342912 is an abundant number, since it is smaller than the sum of its proper divisors (342634464).

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

301342912 is a wasteful number, since it uses less digits than its factorization.

301342912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362216 (or 362206 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 301342912 is about 17359.2313193874. The cubic root of 301342912 is about 670.4303405972.

The spelling of 301342912 in words is "three hundred one million, three hundred forty-two thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 362191 724382 1448764 2897528 4708483 5795056 9416966 11590112 18833932 23180224 37667864 75335728 150671456 301342912