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334201000 = 2353747743
BaseRepresentation
bin10011111010111…
…000000010101000
3212021212011120211
4103322320002220
51141023413000
653055030504
711165442640
oct2372700250
9767764524
10334201000
11161714181
1293b0b434
1354313c93
1432557520
151e5177ba
hex13eb80a8

334201000 has 64 divisors (see below), whose sum is σ = 893767680. Its totient is φ = 114580800.

The previous prime is 334200967. The next prime is 334201061. The reversal of 334201000 is 102433.

It is a super-2 number, since 2×3342010002 = 223380616802000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16872 + ... + 30871.

It is an arithmetic number, because the mean of its divisors is an integer number (13965120).

Almost surely, 2334201000 is an apocalyptic number.

It is an amenable number.

334201000 is an abundant number, since it is smaller than the sum of its proper divisors (559566680).

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

334201000 is a wasteful number, since it uses less digits than its factorization.

334201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47771 (or 47757 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 334201000 is about 18281.1651707434. The cubic root of 334201000 is about 693.9623595760.

Adding to 334201000 its reverse (102433), we get a palindrome (334303433).

The spelling of 334201000 in words is "three hundred thirty-four million, two hundred one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 47743 95486 190972 238715 334201 381944 477430 668402 954860 1193575 1336804 1671005 1909720 2387150 2673608 3342010 4774300 5967875 6684020 8355025 9548600 11935750 13368040 16710050 23871500 33420100 41775125 47743000 66840200 83550250 167100500 334201000