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342620100 = 2232526172
BaseRepresentation
bin10100011010111…
…111011111000100
3212212200220102100
4110122333133010
51200202320400
653555312100
711330136264
oct2432773704
9785626370
10342620100
11166444609
12968ab630
1355ca10b4
14337097a4
152012c100
hex146bf7c4

342620100 has 81 divisors (see below), whose sum is σ = 1075667047. Its totient is φ = 91217280.

The previous prime is 342620093. The next prime is 342620107. The reversal of 342620100 is 1026243.

It is a happy number.

The square root of 342620100 is 18510.

It is a perfect power (a square), and thus also a powerful number.

342620100 is a `hidden beast` number, since 3 + 42 + 620 + 1 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (342620093) and next prime (342620107).

It can be written as a sum of positive squares in 4 ways, for example, as 161340804 + 181279296 = 12702^2 + 13464^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (342620107) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 554992 + ... + 555608.

Almost surely, 2342620100 is an apocalyptic number.

342620100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

342620100 is the 18510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342620100

342620100 is an abundant number, since it is smaller than the sum of its proper divisors (733046947).

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

342620100 is a wasteful number, since it uses less digits than its factorization.

342620100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The cubic root of 342620100 is about 699.7414691545.

Adding to 342620100 its reverse (1026243), we get a palindrome (343646343).

The spelling of 342620100 in words is "three hundred forty-two million, six hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 617 900 1234 1851 2468 3085 3702 5553 6170 7404 9255 11106 12340 15425 18510 22212 27765 30850 37020 46275 55530 61700 92550 111060 138825 185100 277650 380689 555300 761378 1142067 1522756 1903445 2284134 3426201 3806890 4568268 5710335 6852402 7613780 9517225 11420670 13704804 17131005 19034450 22841340 28551675 34262010 38068900 57103350 68524020 85655025 114206700 171310050 342620100