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342421002 = 2327111913003
BaseRepresentation
bin10100011010001…
…110111000001010
3212212022210022100
4110122032320022
51200124433002
653551134230
711325346650
oct2432167012
9785283270
10342421002
11166318a70
1296814376
1355c315a1
1433696dd0
15200dd11c
hex1468ee0a

342421002 has 96 divisors (see below), whose sum is σ = 973739520. Its totient is φ = 84252960.

The previous prime is 342420931. The next prime is 342421019. The reversal of 342421002 is 200124243.

It is a super-2 number, since 2×3424210022 = 234504285221368008, which contains 22 as substring.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 19833 + ... + 32835.

It is an arithmetic number, because the mean of its divisors is an integer number (10143120).

Almost surely, 2342421002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342421002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486869760).

342421002 is an abundant number, since it is smaller than the sum of its proper divisors (631318518).

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

342421002 is a wasteful number, since it uses less digits than its factorization.

342421002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13048 (or 13045 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 342421002 is about 18504.6210985256. The cubic root of 342421002 is about 699.6059019751.

Adding to 342421002 its reverse (200124243), we get a palindrome (542545245).

The spelling of 342421002 in words is "three hundred forty-two million, four hundred twenty-one thousand, two".

Divisors: 1 2 3 6 7 9 11 14 18 19 21 22 33 38 42 57 63 66 77 99 114 126 133 154 171 198 209 231 266 342 399 418 462 627 693 798 1197 1254 1386 1463 1881 2394 2926 3762 4389 8778 13003 13167 26006 26334 39009 78018 91021 117027 143033 182042 234054 247057 273063 286066 429099 494114 546126 741171 819189 858198 1001231 1287297 1482342 1638378 1729399 2002462 2223513 2574594 2717627 3003693 3458798 4447026 5188197 5435254 6007386 8152881 9011079 10376394 15564591 16305762 18022158 19023389 24458643 31129182 38046778 48917286 57070167 114140334 171210501 342421002