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342030040 = 235111037547
BaseRepresentation
bin10100011000101…
…111011011011000
3212211120221000021
4110120233123120
51200024430130
653534520224
711322131062
oct2430573330
9784527007
10342030040
11166081260
1296666074
1355b25651
14335d4732
152006237a
hex1462f6d8

342030040 has 64 divisors (see below), whose sum is σ = 847791360. Its totient is φ = 123150720.

The previous prime is 342030023. The next prime is 342030047. The reversal of 342030040 is 40030243.

It is a junction number, because it is equal to n+sod(n) for n = 342029996 and 342030023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342030047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41547 + ... + 49093.

It is an arithmetic number, because the mean of its divisors is an integer number (13246740).

Almost surely, 2342030040 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 342030040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423895680).

342030040 is an abundant number, since it is smaller than the sum of its proper divisors (505761320).

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

342030040 is a wasteful number, since it uses less digits than its factorization.

342030040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7672 (or 7668 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 342030040 is about 18494.0541796546. The cubic root of 342030040 is about 699.3395403084.

Adding to 342030040 its reverse (40030243), we get a palindrome (382060283).

The spelling of 342030040 in words is "three hundred forty-two million, thirty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 103 110 206 220 412 440 515 824 1030 1133 2060 2266 4120 4532 5665 7547 9064 11330 15094 22660 30188 37735 45320 60376 75470 83017 150940 166034 301880 332068 415085 664136 777341 830170 1554682 1660340 3109364 3320680 3886705 6218728 7773410 8550751 15546820 17101502 31093640 34203004 42753755 68406008 85507510 171015020 342030040