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342661644 = 223313614001
BaseRepresentation
bin10100011011001…
…001101000001100
3212212210000102000
4110123021220030
51200210133034
654000232300
711330401353
oct2433115014
9785700360
10342661644
11166472846
129690b690
1355cb6c90
143371a99a
1520139599
hex146c9a0c

342661644 has 96 divisors (see below), whose sum is σ = 972646080. Its totient is φ = 103680000.

The previous prime is 342661643. The next prime is 342661663. The reversal of 342661644 is 446166243.

342661644 is a `hidden beast` number, since 3 + 4 + 2 + 6 + 6 + 1 + 644 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 342661599 and 342661608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342661643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83644 + ... + 87644.

It is an arithmetic number, because the mean of its divisors is an integer number (10131730).

Almost surely, 2342661644 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 342661644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486323040).

342661644 is an abundant number, since it is smaller than the sum of its proper divisors (629984436).

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

342661644 is a wasteful number, since it uses less digits than its factorization.

342661644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4088 (or 4080 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 342661644 is about 18511.1221701981. The cubic root of 342661644 is about 699.7697501229.

The spelling of 342661644 in words is "three hundred forty-two million, six hundred sixty-one thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 61 78 108 117 122 156 183 234 244 351 366 468 549 702 732 793 1098 1404 1586 1647 2196 2379 3172 3294 4001 4758 6588 7137 8002 9516 12003 14274 16004 21411 24006 28548 36009 42822 48012 52013 72018 85644 104026 108027 144036 156039 208052 216054 244061 312078 432108 468117 488122 624156 732183 936234 976244 1404351 1464366 1872468 2196549 2808702 2928732 3172793 4393098 5617404 6345586 6589647 8786196 9518379 12691172 13179294 19036758 26358588 28555137 38073516 57110274 85665411 114220548 171330822 342661644