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345254440 = 23531416791
BaseRepresentation
bin10100100101000…
…010101000101000
3220001122202001111
4110211002220220
51201341120230
654132000104
711361420466
oct2445025050
9801582044
10345254440
11167983853
1297760034
13566b418b
1433bd3836
152049c92a
hex14942a28

345254440 has 64 divisors (see below), whose sum is σ = 821560320. Its totient is φ = 130368000.

The previous prime is 345254401. The next prime is 345254443. The reversal of 345254440 is 44452543.

345254440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (345254443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47445 + ... + 54235.

It is an arithmetic number, because the mean of its divisors is an integer number (12836880).

Almost surely, 2345254440 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 345254440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410780160).

345254440 is an abundant number, since it is smaller than the sum of its proper divisors (476305880).

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

345254440 is a wasteful number, since it uses less digits than its factorization.

345254440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6874 (or 6870 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 31.

The square root of 345254440 is about 18581.0236531791. The cubic root of 345254440 is about 701.5302848272.

The spelling of 345254440 in words is "three hundred forty-five million, two hundred fifty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 41 62 82 124 155 164 205 248 310 328 410 620 820 1240 1271 1640 2542 5084 6355 6791 10168 12710 13582 25420 27164 33955 50840 54328 67910 135820 210521 271640 278431 421042 556862 842084 1052605 1113724 1392155 1684168 2105210 2227448 2784310 4210420 5568620 8420840 8631361 11137240 17262722 34525444 43156805 69050888 86313610 172627220 345254440