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345450456 = 233213369071
BaseRepresentation
bin10100100101110…
…010011111011000
3220002000200221100
4110211302133120
51201413403311
654140111400
711363165121
oct2445623730
9802020840
10345450456
11167aa804a
1297835560
1356752470
1433c45048
15204daa56
hex149727d8

345450456 has 48 divisors (see below), whose sum is σ = 1007566560. Its totient is φ = 106292160.

The previous prime is 345450451. The next prime is 345450481. The reversal of 345450456 is 654054543.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 345450456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345450451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183600 + ... + 185471.

It is an arithmetic number, because the mean of its divisors is an integer number (20990970).

Almost surely, 2345450456 is an apocalyptic number.

345450456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

345450456 is an abundant number, since it is smaller than the sum of its proper divisors (662116104).

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

345450456 is a wasteful number, since it uses less digits than its factorization.

345450456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369096 (or 369089 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 345450456 is about 18586.2975333981. The cubic root of 345450456 is about 701.6630228207.

The spelling of 345450456 in words is "three hundred forty-five million, four hundred fifty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 369071 738142 1107213 1476284 2214426 2952568 3321639 4428852 4797923 6643278 8857704 9595846 13286556 14393769 19191692 26573112 28787538 38383384 43181307 57575076 86362614 115150152 172725228 345450456