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342956952 = 2332131312797
BaseRepresentation
bin10100011100010…
…001101110011000
3212220100000111100
4110130101232120
51200244110302
654010431400
711333041332
oct2434215630
9786300440
10342956952
111666546a8
1296a32560
135608b510
1433796452
1520196d1c
hex14711b98

342956952 has 96 divisors (see below), whose sum is σ = 1008287280. Its totient is φ = 104682240.

The previous prime is 342956951. The next prime is 342956953. The reversal of 342956952 is 259659243.

342956952 is a `hidden beast` number, since 34 + 2 + 9 + 569 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (342956951) and next prime (342956953).

It is a junction number, because it is equal to n+sod(n) for n = 342956898 and 342956907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342956951) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 121218 + ... + 124014.

Almost surely, 2342956952 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 342956952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504143640).

342956952 is an abundant number, since it is smaller than the sum of its proper divisors (665330328).

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

342956952 is a wasteful number, since it uses less digits than its factorization.

342956952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2953 (or 2946 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 342956952 is about 18519.0969542254. The cubic root of 342956952 is about 699.9707144211.

The spelling of 342956952 in words is "three hundred forty-two million, nine hundred fifty-six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 131 156 234 262 312 393 468 524 786 936 1048 1179 1572 1703 2358 2797 3144 3406 4716 5109 5594 6812 8391 9432 10218 11188 13624 15327 16782 20436 22376 25173 30654 33564 36361 40872 50346 61308 67128 72722 100692 109083 122616 145444 201384 218166 290888 327249 366407 436332 654498 732814 872664 1099221 1308996 1465628 2198442 2617992 2931256 3297663 4396884 4763291 6595326 8793768 9526582 13190652 14289873 19053164 26381304 28579746 38106328 42869619 57159492 85739238 114318984 171478476 342956952