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342101424 = 24371278017
BaseRepresentation
bin10100011001000…
…000110110110000
3212211201112221010
4110121000312300
51200034221144
653540230520
711322546150
oct2431006660
9784645833
10342101424
1116611a955
129669b440
1355b4bca2
1433612760
15200785b9
hex14640db0

342101424 has 80 divisors (see below), whose sum is σ = 1018093568. Its totient is φ = 96961536.

The previous prime is 342101423. The next prime is 342101449. The reversal of 342101424 is 424101243.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 342101424.

It is not an unprimeable number, because it can be changed into a prime (342101423) 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, 38664 + ... + 46680.

Almost surely, 2342101424 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 342101424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509046784).

342101424 is an abundant number, since it is smaller than the sum of its proper divisors (675992144).

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

342101424 is a wasteful number, since it uses less digits than its factorization.

342101424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8162 (or 8156 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 342101424 is about 18495.9839965329. The cubic root of 342101424 is about 699.3881892333.

Adding to 342101424 its reverse (424101243), we get a palindrome (766202667).

The spelling of 342101424 in words is "three hundred forty-two million, one hundred one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 127 168 254 336 381 508 762 889 1016 1524 1778 2032 2667 3048 3556 5334 6096 7112 8017 10668 14224 16034 21336 24051 32068 42672 48102 56119 64136 96204 112238 128272 168357 192408 224476 336714 384816 448952 673428 897904 1018159 1346856 2036318 2693712 3054477 4072636 6108954 7127113 8145272 12217908 14254226 16290544 21381339 24435816 28508452 42762678 48871632 57016904 85525356 114033808 171050712 342101424