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342220770 = 232537102769
BaseRepresentation
bin10100011001011…
…101111111100010
3212211221121122100
4110121131333202
51200102031040
653542551230
711323554123
oct2431357742
9784847570
10342220770
111661a1591
1296738516
1355b913c8
143364404a
152009db30
hex1465dfe2

342220770 has 48 divisors (see below), whose sum is σ = 913830840. Its totient is φ = 88791552.

The previous prime is 342220763. The next prime is 342220783. The reversal of 342220770 is 77022243.

It can be written as a sum of positive squares in 4 ways, for example, as 328225689 + 13995081 = 18117^2 + 3741^2 .

It is a super-3 number, since 3×3422207703 (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48055 + ... + 54714.

Almost surely, 2342220770 is an apocalyptic number.

342220770 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

342220770 is an abundant number, since it is smaller than the sum of its proper divisors (571610070).

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

342220770 is a wasteful number, since it uses less digits than its factorization.

342220770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102819 (or 102816 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 342220770 is about 18499.2099831317. The cubic root of 342220770 is about 699.4695096376.

The spelling of 342220770 in words is "three hundred forty-two million, two hundred twenty thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 102769 205538 308307 513845 616614 924921 1027690 1541535 1849842 3083070 3802453 4624605 7604906 9249210 11407359 19012265 22814718 34222077 38024530 57036795 68444154 114073590 171110385 342220770