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345330324 = 22333789971
BaseRepresentation
bin10100100101010…
…101001010010100
3220001210121011000
4110211111022110
51201401032244
654133343300
711362154643
oct2445251224
9801717130
10345330324
11167a25869
1297797b30
135670c891
1433c1335a
15204b5169
hex14955294

345330324 has 96 divisors (see below), whose sum is σ = 930787200. Its totient is φ = 110626560.

The previous prime is 345330277. The next prime is 345330329. The reversal of 345330324 is 423033543.

It is a happy number.

345330324 is a `hidden beast` number, since 3 + 4 + 5 + 330 + 324 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345330329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355159 + ... + 356129.

It is an arithmetic number, because the mean of its divisors is an integer number (9695700).

Almost surely, 2345330324 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 345330324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465393600).

345330324 is an abundant number, since it is smaller than the sum of its proper divisors (585456876).

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

345330324 is a wasteful number, since it uses less digits than its factorization.

345330324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 27.

The square root of 345330324 is about 18583.0655167548. The cubic root of 345330324 is about 701.5816778659.

Adding to 345330324 its reverse (423033543), we get a palindrome (768363867).

The spelling of 345330324 in words is "three hundred forty-five million, three hundred thirty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 89 108 111 148 178 222 267 333 356 444 534 666 801 971 999 1068 1332 1602 1942 1998 2403 2913 3204 3293 3884 3996 4806 5826 6586 8739 9612 9879 11652 13172 17478 19758 26217 29637 34956 35927 39516 52434 59274 71854 86419 88911 104868 107781 118548 143708 172838 177822 215562 259257 323343 345676 355644 431124 518514 646686 777771 970029 1037028 1293372 1555542 1940058 2333313 3111084 3197503 3880116 4666626 6395006 9333252 9592509 12790012 19185018 28777527 38370036 57555054 86332581 115110108 172665162 345330324