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345502404 = 2232132925457
BaseRepresentation
bin10100100101111…
…111001011000100
3220002010100012100
4110211333023010
51201422034104
654141152100
711363502432
oct2445771304
9802110170
10345502404
11168033085
129785b630
135676ccc0
1433c59d52
15204eb139
hex1497f2c4

345502404 has 72 divisors (see below), whose sum is σ = 973004760. Its totient is φ = 102638592.

The previous prime is 345502369. The next prime is 345502427. The reversal of 345502404 is 404205543.

It can be written as a sum of positive squares in 4 ways, for example, as 3992004 + 341510400 = 1998^2 + 18480^2 .

It is a super-2 number, since 2×3455024042 = 238743822339558432, 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 23 ways as a sum of consecutive naturals, for example, 844 + ... + 26300.

It is an arithmetic number, because the mean of its divisors is an integer number (13513955).

Almost surely, 2345502404 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 345502404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486502380).

345502404 is an abundant number, since it is smaller than the sum of its proper divisors (627502356).

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

345502404 is a wasteful number, since it uses less digits than its factorization.

345502404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25509 (or 25504 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 345502404 is about 18587.6949619903. The cubic root of 345502404 is about 701.6981925178.

Adding to 345502404 its reverse (404205543), we get a palindrome (749707947).

The spelling of 345502404 in words is "three hundred forty-five million, five hundred two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 174 234 261 348 377 468 522 754 1044 1131 1508 2262 3393 4524 6786 13572 25457 50914 76371 101828 152742 229113 305484 330941 458226 661882 738253 916452 992823 1323764 1476506 1985646 2214759 2953012 2978469 3971292 4429518 5956938 6644277 8859036 9597289 11913876 13288554 19194578 26577108 28791867 38389156 57583734 86375601 115167468 172751202 345502404