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334131440 = 2458350321
BaseRepresentation
bin10011111010100…
…111000011110000
3212021201122011112
4103322213003300
51141014201230
653053332452
711165033066
oct2372470360
9767648145
10334131440
11161676995
1293a97128
13542bb416
143253a036
151e501d95
hex13ea70f0

334131440 has 40 divisors (see below), whose sum is σ = 786230928. Its totient is φ = 132039680.

The previous prime is 334131433. The next prime is 334131449. The reversal of 334131440 is 44131433.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3341314402 = 223287638392947200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334131449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18521 + ... + 31800.

Almost surely, 2334131440 is an apocalyptic number.

It is an amenable number.

334131440 is an abundant number, since it is smaller than the sum of its proper divisors (452099488).

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

334131440 is a wasteful number, since it uses less digits than its factorization.

334131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50417 (or 50411 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 334131440 is about 18279.2625671825. The cubic root of 334131440 is about 693.9142095394.

Adding to 334131440 its reverse (44131433), we get a palindrome (378262873).

The spelling of 334131440 in words is "three hundred thirty-four million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 332 415 664 830 1328 1660 3320 6640 50321 100642 201284 251605 402568 503210 805136 1006420 2012840 4025680 4176643 8353286 16706572 20883215 33413144 41766430 66826288 83532860 167065720 334131440