Search a number
-
+
145317354 = 23713259347
BaseRepresentation
bin10001010100101…
…01110111101010
3101010102212221020
420222111313222
5244200123404
622230353310
73413114520
oct1052256752
9333385836
10145317354
1175034096
12407bb836
132414c700
141542a310
15cb56ed9
hex8a95dea

145317354 has 96 divisors (see below), whose sum is σ = 366819840. Its totient is φ = 37567296.

The previous prime is 145317307. The next prime is 145317371. The reversal of 145317354 is 453713541.

145317354 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1453173542 = 42234266747122632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 418609 + ... + 418955.

It is an arithmetic number, because the mean of its divisors is an integer number (3821040).

Almost surely, 2145317354 is an apocalyptic number.

145317354 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145317354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183409920).

145317354 is an abundant number, since it is smaller than the sum of its proper divisors (221502486).

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

145317354 is a wasteful number, since it uses less digits than its factorization.

145317354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 431 counting only the distinct ones).

The product of its digits is 25200, while the sum is 33.

The square root of 145317354 is about 12054.7647841009. The cubic root of 145317354 is about 525.7417831719.

The spelling of 145317354 in words is "one hundred forty-five million, three hundred seventeen thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 59 78 91 118 169 177 182 273 338 347 354 413 507 546 694 767 826 1014 1041 1183 1239 1534 2082 2301 2366 2429 2478 3549 4511 4602 4858 5369 7098 7287 9022 9971 10738 13533 14574 16107 19942 20473 27066 29913 31577 32214 40946 58643 59826 61419 63154 69797 94731 117286 122838 139594 143311 175929 189462 209391 266149 286622 351858 410501 418782 429933 532298 798447 821002 859866 1231503 1596894 1863043 2463006 3459937 3726086 5589129 6919874 10379811 11178258 20759622 24219559 48439118 72658677 145317354