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342503720 = 23513709929
BaseRepresentation
bin10100011010100…
…011000100101000
3212212110222202222
4110122203010220
51200140104340
653553013212
711326143056
oct2432430450
9785428688
10342503720
11166375129
1296854208
1355c60130
14336b91d6
15201078b5
hex146a3128

342503720 has 64 divisors (see below), whose sum is σ = 831978000. Its totient is φ = 126148608.

The previous prime is 342503701. The next prime is 342503723. The reversal of 342503720 is 27305243.

It can be written as a sum of positive squares in 8 ways, for example, as 31684 + 342472036 = 178^2 + 18506^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 342503720.

It is not an unprimeable number, because it can be changed into a prime (342503723) 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, 368216 + ... + 369144.

Almost surely, 2342503720 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 342503720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415989000).

342503720 is an abundant number, since it is smaller than the sum of its proper divisors (489474280).

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

342503720 is a wasteful number, since it uses less digits than its factorization.

342503720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 26.

The square root of 342503720 is about 18506.8560268891. The cubic root of 342503720 is about 699.6622316019.

Adding to 342503720 its reverse (27305243), we get a palindrome (369808963).

The spelling of 342503720 in words is "three hundred forty-two million, five hundred three thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 709 929 1418 1858 2836 3545 3716 4645 5672 7090 7432 9217 9290 12077 14180 18434 18580 24154 28360 36868 37160 46085 48308 60385 73736 92170 96616 120770 184340 241540 368680 483080 658661 1317322 2634644 3293305 5269288 6586610 8562593 13173220 17125186 26346440 34250372 42812965 68500744 85625930 171251860 342503720