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345241413 = 33113789353
BaseRepresentation
bin10100100100111…
…111011101000101
3220001122002012000
4110210333131011
51201340211123
654131415513
711361334506
oct2444773505
9801562160
10345241413
11167974a90
1297754599
13566ab27a
1433bccbad
1520498b43
hex1493f745

345241413 has 64 divisors (see below), whose sum is σ = 581126400. Its totient is φ = 200724480.

The previous prime is 345241363. The next prime is 345241447. The reversal of 345241413 is 314142543.

It is a happy number.

345241413 is a `hidden beast` number, since 3 + 4 + 5 + 241 + 413 = 666.

It is not a de Polignac number, because 345241413 - 28 = 345241157 is a prime.

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 (345241313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 977845 + ... + 978197.

It is an arithmetic number, because the mean of its divisors is an integer number (9080100).

Almost surely, 2345241413 is an apocalyptic number.

345241413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

345241413 is a deficient number, since it is larger than the sum of its proper divisors (235884987).

345241413 is a wasteful number, since it uses less digits than its factorization.

345241413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 493 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 345241413 is about 18580.6731040617. The cubic root of 345241413 is about 701.5214614312.

Adding to 345241413 its reverse (314142543), we get a palindrome (659383956).

It can be divided in two parts, 34524 and 1413, that added together give a cube (35937 = 333).

The spelling of 345241413 in words is "three hundred forty-five million, two hundred forty-one thousand, four hundred thirteen".

Divisors: 1 3 9 11 27 33 37 89 99 111 267 297 333 353 407 801 979 999 1059 1221 2403 2937 3177 3293 3663 3883 8811 9531 9879 10989 11649 13061 26433 29637 31417 34947 36223 39183 88911 94251 104841 108669 117549 143671 282753 326007 345587 352647 431013 848259 978021 1036761 1162429 1293039 3110283 3487287 3879117 9330849 10461861 12786719 31385583 38360157 115080471 345241413