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342005520 = 24356721269
BaseRepresentation
bin10100011000101…
…001011100010000
3212211112200101010
4110120221130100
51200023134040
653534210520
711321666433
oct2430513420
9784480333
10342005520
1116606489a
1296653a40
1355b1743c
14335c981a
1520059e80
hex14629710

342005520 has 80 divisors (see below), whose sum is σ = 1076091840. Its totient is φ = 89836032.

The previous prime is 342005519. The next prime is 342005533. The reversal of 342005520 is 25500243.

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

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 15 ways as a sum of consecutive naturals, for example, 5446 + ... + 26714.

It is an arithmetic number, because the mean of its divisors is an integer number (13451148).

Almost surely, 2342005520 is an apocalyptic number.

342005520 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 342005520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538045920).

342005520 is an abundant number, since it is smaller than the sum of its proper divisors (734086320).

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

342005520 is a wasteful number, since it uses less digits than its factorization.

342005520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21352 (or 21346 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 342005520 is about 18493.3912520122. The cubic root of 342005520 is about 699.3228281162.

Adding to 342005520 its reverse (25500243), we get a palindrome (367505763).

The spelling of 342005520 in words is "three hundred forty-two million, five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 536 670 804 1005 1072 1340 1608 2010 2680 3216 4020 5360 8040 16080 21269 42538 63807 85076 106345 127614 170152 212690 255228 319035 340304 425380 510456 638070 850760 1020912 1276140 1425023 1701520 2552280 2850046 4275069 5104560 5700092 7125115 8550138 11400184 14250230 17100276 21375345 22800368 28500460 34200552 42750690 57000920 68401104 85501380 114001840 171002760 342005520