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342142240 = 25511732663
BaseRepresentation
bin10100011001001…
…010110100100000
3212211210121220211
4110121022310200
51200042022430
653541143504
711323106146
oct2431126440
9784717824
10342142240
11166148590
12966bab94
1355b6473b
1433623596
152008572a
hex1464ad20

342142240 has 96 divisors (see below), whose sum is σ = 894208896. Its totient is φ = 122664960.

The previous prime is 342142231. The next prime is 342142249. The reversal of 342142240 is 42241243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (342142231) and next prime (342142249).

It is a super-2 number, since 2×3421422402 = 234122624784435200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (342142249) by changing a digit.

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, 127149 + ... + 129811.

It is an arithmetic number, because the mean of its divisors is an integer number (9314676).

Almost surely, 2342142240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447104448).

342142240 is an abundant number, since it is smaller than the sum of its proper divisors (552066656).

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

342142240 is a wasteful number, since it uses less digits than its factorization.

342142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 342142240 is about 18497.0873382811. The cubic root of 342142240 is about 699.4160027131.

Adding to 342142240 its reverse (42241243), we get a palindrome (384383483).

The spelling of 342142240 in words is "three hundred forty-two million, one hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 73 80 88 110 146 160 176 220 292 352 365 440 584 730 803 880 1168 1460 1606 1760 2336 2663 2920 3212 4015 5326 5840 6424 8030 10652 11680 12848 13315 16060 21304 25696 26630 29293 32120 42608 53260 58586 64240 85216 106520 117172 128480 146465 194399 213040 234344 292930 388798 426080 468688 585860 777596 937376 971995 1171720 1555192 1943990 2138389 2343440 3110384 3887980 4276778 4686880 6220768 7775960 8553556 10691945 15551920 17107112 21383890 31103840 34214224 42767780 68428448 85535560 171071120 342142240