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354455140 = 225136122349
BaseRepresentation
bin10101001000001…
…000111001100100
3220200222012001011
4111020020321210
51211220031030
655101112004
711532550624
oct2510107144
9820865034
10354455140
11172098436
129a858604
1358585c90
143510a884
15211b8b2a
hex15208e64

354455140 has 48 divisors (see below), whose sum is σ = 814791600. Its totient is φ = 128724480.

The previous prime is 354455119. The next prime is 354455161. The reversal of 354455140 is 41554453.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (354455119) and next prime (354455161).

It can be written as a sum of positive squares in 8 ways, for example, as 166874724 + 187580416 = 12918^2 + 13696^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4686 + ... + 27034.

It is an arithmetic number, because the mean of its divisors is an integer number (16974825).

Almost surely, 2354455140 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 354455140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407395800).

354455140 is an abundant number, since it is smaller than the sum of its proper divisors (460336460).

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

354455140 is a wasteful number, since it uses less digits than its factorization.

354455140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22432 (or 22430 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The square root of 354455140 is about 18826.9790460392. The cubic root of 354455140 is about 707.7074370826.

The spelling of 354455140 in words is "three hundred fifty-four million, four hundred fifty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 61 65 122 130 244 260 305 610 793 1220 1586 3172 3965 7930 15860 22349 44698 89396 111745 223490 290537 446980 581074 1162148 1363289 1452685 2726578 2905370 5453156 5810740 6816445 13632890 17722757 27265780 35445514 70891028 88613785 177227570 354455140