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342142320 = 243513109661
BaseRepresentation
bin10100011001001…
…010110101110000
3212211210122000210
4110121022311300
51200042023240
653541144120
711323106322
oct2431126560
9784718023
10342142320
11166148653
12966bb040
1355b647a0
1433623612
1520085780
hex1464ad70

342142320 has 80 divisors (see below), whose sum is σ = 1142239392. Its totient is φ = 84218880.

The previous prime is 342142249. The next prime is 342142349. The reversal of 342142320 is 23241243.

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

It is a super-2 number, since 2×3421423202 = 234122734269964800, 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, 51711 + ... + 57950.

Almost surely, 2342142320 is an apocalyptic number.

342142320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342142320 is an abundant number, since it is smaller than the sum of its proper divisors (800097072).

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

342142320 is a wasteful number, since it uses less digits than its factorization.

342142320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109690 (or 109684 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 342142320 is about 18497.0895007836. The cubic root of 342142320 is about 699.4160572258.

Adding to 342142320 its reverse (23241243), we get a palindrome (365383563).

The spelling of 342142320 in words is "three hundred forty-two million, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 109661 219322 328983 438644 548305 657966 877288 1096610 1315932 1425593 1644915 1754576 2193220 2631864 2851186 3289830 4276779 4386440 5263728 5702372 6579660 7127965 8553558 8772880 11404744 13159320 14255930 17107116 21383895 22809488 26318640 28511860 34214232 42767790 57023720 68428464 85535580 114047440 171071160 342142320