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354138000 = 2435359023
BaseRepresentation
bin10101000110111…
…011011110010000
3220200101002000020
4111012323132100
51211124404000
655050223440
711530060206
oct2506733620
9820332006
10354138000
111719a1137
129a724b80
13584a4818
1435067076
1521154ba0
hex151bb790

354138000 has 80 divisors (see below), whose sum is σ = 1141760256. Its totient is φ = 94435200.

The previous prime is 354137977. The next prime is 354138019. The reversal of 354138000 is 831453.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23512 + ... + 35511.

Almost surely, 2354138000 is an apocalyptic number.

354138000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

354138000 is an abundant number, since it is smaller than the sum of its proper divisors (787622256).

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

354138000 is a wasteful number, since it uses less digits than its factorization.

354138000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59049 (or 59033 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 354138000 is about 18818.5546735131. The cubic root of 354138000 is about 707.4963061734.

Adding to 354138000 its reverse (831453), we get a palindrome (354969453).

The spelling of 354138000 in words is "three hundred fifty-four million, one hundred thirty-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 59023 118046 177069 236092 295115 354138 472184 590230 708276 885345 944368 1180460 1416552 1475575 1770690 2360920 2833104 2951150 3541380 4426725 4721840 5902300 7082760 7377875 8853450 11804600 14165520 14755750 17706900 22133625 23609200 29511500 35413800 44267250 59023000 70827600 88534500 118046000 177069000 354138000