Search a number
-
+
145336352 = 2572591571
BaseRepresentation
bin10001010100110…
…10100000100000
3101010110211222212
420222122200200
5244201230402
622231021252
73413224100
oct1052324040
9333424885
10145336352
1175047397
124080a828
1324158255
1415433200
15cb5c952
hex8a9a820

145336352 has 72 divisors (see below), whose sum is σ = 338703120. Its totient is φ = 61192320.

The previous prime is 145336351. The next prime is 145336363. The reversal of 145336352 is 253633541.

It is a super-2 number, since 2×1453363522 = 42245310425335808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (145336351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91727 + ... + 93297.

It is an arithmetic number, because the mean of its divisors is an integer number (4704210).

Almost surely, 2145336352 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 145336352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169351560).

145336352 is an abundant number, since it is smaller than the sum of its proper divisors (193366768).

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

145336352 is a wasteful number, since it uses less digits than its factorization.

145336352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1639 counting only the distinct ones).

The product of its digits is 32400, while the sum is 32.

The square root of 145336352 is about 12055.5527455194. The cubic root of 145336352 is about 525.7646930467.

Adding to 145336352 its reverse (253633541), we get a palindrome (398969893).

The spelling of 145336352 in words is "one hundred forty-five million, three hundred thirty-six thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 59 98 112 118 196 224 236 392 413 472 784 826 944 1568 1571 1652 1888 2891 3142 3304 5782 6284 6608 10997 11564 12568 13216 21994 23128 25136 43988 46256 50272 76979 87976 92512 92689 153958 175952 185378 307916 351904 370756 615832 648823 741512 1231664 1297646 1483024 2463328 2595292 2966048 4541761 5190584 9083522 10381168 18167044 20762336 36334088 72668176 145336352