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345505413 = 31147331673
BaseRepresentation
bin10100100101111…
…111111010000101
3220002010111022210
4110211333322011
51201422133123
654141214033
711363514261
oct2445777205
9802114283
10345505413
11168035370
1297861319
1356771496
1433c5b0a1
15204ebe93
hex1497fe85

345505413 has 32 divisors (see below), whose sum is σ = 515561472. Its totient is φ = 204019200.

The previous prime is 345505343. The next prime is 345505417. The reversal of 345505413 is 314505543.

It is not a de Polignac number, because 345505413 - 216 = 345439877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345505417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 513045 + ... + 513717.

It is an arithmetic number, because the mean of its divisors is an integer number (16111296).

Almost surely, 2345505413 is an apocalyptic number.

345505413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

345505413 is a deficient number, since it is larger than the sum of its proper divisors (170056059).

345505413 is a wasteful number, since it uses less digits than its factorization.

345505413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065.

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 345505413 is about 18587.7759024580. The cubic root of 345505413 is about 701.7002295550.

The spelling of 345505413 in words is "three hundred forty-five million, five hundred five thousand, four hundred thirteen".

Divisors: 1 3 11 33 47 141 331 517 673 993 1551 2019 3641 7403 10923 15557 22209 31631 46671 94893 171127 222763 347941 513381 668289 1043823 2450393 7351179 10469861 31409583 115168471 345505413