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354348749312 = 29821842981
BaseRepresentation
bin1010010100000001101…
…01001101001000000000
31020212122011200112221022
411022000311031020000
521301201234434222
6430441403245012
734413043446455
oct5120065151000
91225564615838
10354348749312
111273076a4048
1258812819768
1327551828b7c
141321724982c
15933dc17042
hex5280d4d200

354348749312 has 40 divisors (see below), whose sum is σ = 708868621692. Its totient is φ = 176958361600.

The previous prime is 354348749311. The next prime is 354348749329. The reversal of 354348749312 is 213947843453.

It can be written as a sum of positive squares in 2 ways, for example, as 352912036096 + 1436713216 = 594064^2 + 37904^2 .

It is a super-2 number, since 2×3543487493122 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (354348749311) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1139 + ... + 841842.

Almost surely, 2354348749312 is an apocalyptic number.

354348749312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

354348749312 is an abundant number, since it is smaller than the sum of its proper divisors (354519872380).

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

354348749312 is an frugal number, since it uses more digits than its factorization.

354348749312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843820 (or 843804 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 53.

The spelling of 354348749312 in words is "three hundred fifty-four billion, three hundred forty-eight million, seven hundred forty-nine thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 512 821 1642 3284 6568 13136 26272 52544 105088 210176 420352 842981 1685962 3371924 6743848 13487696 26975392 53950784 107901568 215803136 431606272 692087401 1384174802 2768349604 5536699208 11073398416 22146796832 44293593664 88587187328 177174374656 354348749312