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354340500 = 223531912433
BaseRepresentation
bin10101000111101…
…100111010010100
3220200202100210020
4111013230322110
51211202344000
655054425140
711531562453
oct2507547224
9820670706
10354340500
1117201a298
129a8021b0
1358545a47
14350bab9a
1521194ba0
hex151ece94

354340500 has 96 divisors (see below), whose sum is σ = 1086234240. Its totient is φ = 89510400.

The previous prime is 354340487. The next prime is 354340501. The reversal of 354340500 is 5043453.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354340501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22284 + ... + 34716.

It is an arithmetic number, because the mean of its divisors is an integer number (11314940).

Almost surely, 2354340500 is an apocalyptic number.

354340500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354340500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543117120).

354340500 is an abundant number, since it is smaller than the sum of its proper divisors (731893740).

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

354340500 is a wasteful number, since it uses less digits than its factorization.

354340500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12474 (or 12462 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 354340500 is about 18823.9342327793. The cubic root of 354340500 is about 707.6311318659.

Adding to 354340500 its reverse (5043453), we get a palindrome (359383953).

The spelling of 354340500 in words is "three hundred fifty-four million, three hundred forty thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 125 150 190 228 250 285 300 375 380 475 500 570 750 950 1140 1425 1500 1900 2375 2850 4750 5700 7125 9500 12433 14250 24866 28500 37299 49732 62165 74598 124330 149196 186495 236227 248660 310825 372990 472454 621650 708681 745980 932475 944908 1181135 1243300 1417362 1554125 1864950 2362270 2834724 3108250 3543405 3729900 4662375 4724540 5905675 6216500 7086810 9324750 11811350 14173620 17717025 18649500 23622700 29528375 35434050 59056750 70868100 88585125 118113500 177170250 354340500