Search a number
-
+
342503520 = 25353731913
BaseRepresentation
bin10100011010100…
…011000001100000
3212212110222111120
4110122203001200
51200140103040
653553012240
711326142352
oct2432430140
9785428446
10342503520
11166374a67
1296854080
1355c60008
14336b90d2
15201077d0
hex146a3060

342503520 has 96 divisors (see below), whose sum is σ = 1082344032. Its totient is φ = 91041792.

The previous prime is 342503509. The next prime is 342503533. The reversal of 342503520 is 25305243.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3425035202 = 234617322424780800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178084 + ... + 179996.

It is an arithmetic number, because the mean of its divisors is an integer number (11274417).

Almost surely, 2342503520 is an apocalyptic number.

342503520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342503520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541172016).

342503520 is an abundant number, since it is smaller than the sum of its proper divisors (739840512).

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

342503520 is a wasteful number, since it uses less digits than its factorization.

342503520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 342503520 is about 18506.8506234853. The cubic root of 342503520 is about 699.6620954161.

Adding to 342503520 its reverse (25305243), we get a palindrome (367808763).

The spelling of 342503520 in words is "three hundred forty-two million, five hundred three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 373 480 746 1119 1492 1865 1913 2238 2984 3730 3826 4476 5595 5739 5968 7460 7652 8952 9565 11190 11478 11936 14920 15304 17904 19130 22380 22956 28695 29840 30608 35808 38260 44760 45912 57390 59680 61216 76520 89520 91824 114780 153040 179040 183648 229560 306080 459120 713549 918240 1427098 2140647 2854196 3567745 4281294 5708392 7135490 8562588 10703235 11416784 14270980 17125176 21406470 22833568 28541960 34250352 42812940 57083920 68500704 85625880 114167840 171251760 342503520