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342475344 = 24336771171
BaseRepresentation
bin10100011010011…
…100001001010000
3212212102112212000
4110122130021100
51200133202334
653552234000
711325664251
oct2432341120
9785375760
10342475344
11166355882
129683b900
1355c50243
14336acb28
15200ee299
hex1469c250

342475344 has 80 divisors (see below), whose sum is σ = 985323840. Its totient is φ = 113892480.

The previous prime is 342475333. The next prime is 342475351. The reversal of 342475344 is 443574243.

It is a super-2 number, since 2×3424753442 = 234578722495836672, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 342475299 and 342475308.

It is a congruent number.

It is an unprimeable number.

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, 291879 + ... + 293049.

It is an arithmetic number, because the mean of its divisors is an integer number (12316548).

Almost surely, 2342475344 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 342475344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492661920).

342475344 is an abundant number, since it is smaller than the sum of its proper divisors (642848496).

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

342475344 is a wasteful number, since it uses less digits than its factorization.

342475344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865 (or 1853 counting only the distinct ones).

The product of its digits is 161280, while the sum is 36.

The square root of 342475344 is about 18506.0893762026. The cubic root of 342475344 is about 699.6429090246.

The spelling of 342475344 in words is "three hundred forty-two million, four hundred seventy-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 677 1171 1354 2031 2342 2708 3513 4062 4684 5416 6093 7026 8124 9368 10539 10832 12186 14052 16248 18279 18736 21078 24372 28104 31617 32496 36558 42156 48744 56208 63234 73116 84312 97488 126468 146232 168624 252936 292464 505872 792767 1585534 2378301 3171068 4756602 6342136 7134903 9513204 12684272 14269806 19026408 21404709 28539612 38052816 42809418 57079224 85618836 114158448 171237672 342475344