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345402848 = 25710714411
BaseRepresentation
bin10100100101100…
…110110111100000
3220001221021122002
4110211212313200
51201410342343
654135103132
711362606250
oct2445466740
9801837562
10345402848
11167a752aa
1297811aa8
13567368ab
1433c31960
15204cb8b8
hex14966de0

345402848 has 48 divisors (see below), whose sum is σ = 784473984. Its totient is φ = 146636160.

The previous prime is 345402829. The next prime is 345402851. The reversal of 345402848 is 848204543.

It is a super-2 number, since 2×3454028482 = 238606254813022208, 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 7 ways as a sum of consecutive naturals, for example, 16763 + ... + 31173.

It is an arithmetic number, because the mean of its divisors is an integer number (16343208).

Almost surely, 2345402848 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 345402848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392236992).

345402848 is an abundant number, since it is smaller than the sum of its proper divisors (439071136).

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

345402848 is a wasteful number, since it uses less digits than its factorization.

345402848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14535 (or 14527 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 38.

The square root of 345402848 is about 18585.0167608211. The cubic root of 345402848 is about 701.6307882824.

The spelling of 345402848 in words is "three hundred forty-five million, four hundred two thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 107 112 214 224 428 749 856 1498 1712 2996 3424 5992 11984 14411 23968 28822 57644 100877 115288 201754 230576 403508 461152 807016 1541977 1614032 3083954 3228064 6167908 10793839 12335816 21587678 24671632 43175356 49343264 86350712 172701424 345402848