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364142952 = 23341134973
BaseRepresentation
bin10101101101000…
…110000101101000
3221101012101020000
4111231012011220
51221210033302
6100044503000
712011110155
oct2555060550
9841171200
10364142952
11177604a98
12a1b4aa60
135a598704
143650d22c
1521e7e31c
hex15b46168

364142952 has 80 divisors (see below), whose sum is σ = 1029170340. Its totient is φ = 120282624.

The previous prime is 364142939. The next prime is 364142953. The reversal of 364142952 is 259241463.

It is a happy number.

364142952 is a `hidden beast` number, since 3 + 641 + 4 + 2 + 9 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 341732196 + 22410756 = 18486^2 + 4734^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364142953) 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 19 ways as a sum of consecutive naturals, for example, 70738 + ... + 75710.

Almost surely, 2364142952 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 364142952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514585170).

364142952 is an abundant number, since it is smaller than the sum of its proper divisors (665027388).

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

364142952 is a wasteful number, since it uses less digits than its factorization.

364142952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5104 (or 5091 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 364142952 is about 19082.5300209380. The cubic root of 364142952 is about 714.0971550584.

The spelling of 364142952 in words is "three hundred sixty-four million, one hundred forty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 113 162 216 226 324 339 452 648 678 904 1017 1356 2034 2712 3051 4068 4973 6102 8136 9153 9946 12204 14919 18306 19892 24408 29838 36612 39784 44757 59676 73224 89514 119352 134271 179028 268542 358056 402813 537084 561949 805626 1074168 1123898 1611252 1685847 2247796 3222504 3371694 4495592 5057541 6743388 10115082 13486776 15172623 20230164 30345246 40460328 45517869 60690492 91035738 121380984 182071476 364142952