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342296820 = 22335633883
BaseRepresentation
bin10100011001110…
…000100011110100
3212212002110222000
4110121300203310
51200111444240
653544335300
711324321625
oct2431604364
9785073860
10342296820
11166243738
1296774530
1355bb9bc8
1433663a4c
15200b6430
hex146708f4

342296820 has 48 divisors (see below), whose sum is σ = 1064925120. Its totient is φ = 91279008.

The previous prime is 342296789. The next prime is 342296821. The reversal of 342296820 is 28692243.

342296820 is a `hidden beast` number, since 342 + 296 + 8 + 20 = 666.

It is a super-2 number, since 2×3422968202 = 234334225964224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342296821) by changing a digit.

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, 316402 + ... + 317481.

It is an arithmetic number, because the mean of its divisors is an integer number (22185940).

Almost surely, 2342296820 is an apocalyptic number.

342296820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342296820 is an abundant number, since it is smaller than the sum of its proper divisors (722628300).

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

342296820 is a wasteful number, since it uses less digits than its factorization.

342296820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633901 (or 633893 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 342296820 is about 18501.2653621313. The cubic root of 342296820 is about 699.5213189967.

The spelling of 342296820 in words is "three hundred forty-two million, two hundred ninety-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 633883 1267766 1901649 2535532 3169415 3803298 5704947 6338830 7606596 9508245 11409894 12677660 17114841 19016490 22819788 28524735 34229682 38032980 57049470 68459364 85574205 114098940 171148410 342296820