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354704322848 = 2512728292
BaseRepresentation
bin1010010100101100000…
…01100111000100100000
31020220112221202120010112
411022112001213010200
521302413301312343
6430540544350452
734424621666141
oct5122601470440
91226487676115
10354704322848
1112747a385777
12588b1915428
13275aa3b3c05
141324c567ac8
159360052218
hex5296067120

354704322848 has 54 divisors (see below), whose sum is σ = 704716125561. Its totient is φ = 175743437184.

The previous prime is 354704322757. The next prime is 354704322851. The reversal of 354704322848 is 848223407453.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 352660197904 + 2044124944 = 593852^2 + 45212^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=421132.

It is a super-2 number, since 2×3547043228482 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 354704322796 and 354704322805.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 427869698 + ... + 427870526.

Almost surely, 2354704322848 is an apocalyptic number.

It is an amenable number.

354704322848 is a deficient number, since it is larger than the sum of its proper divisors (350011802713).

354704322848 is an frugal number, since it uses more digits than its factorization.

354704322848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 50.

Multiplying 354704322848 by its sum of digits (50), we get a square (17735216142400 = 42113202).

The spelling of 354704322848 in words is "three hundred fifty-four billion, seven hundred four million, three hundred twenty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 127 254 508 829 1016 1658 2032 3316 4064 6632 13264 16129 26528 32258 64516 105283 129032 210566 258064 421132 516128 687241 842264 1374482 1684528 2748964 3369056 5497928 10995856 13370941 21991712 26741882 53483764 87279607 106967528 174559214 213935056 349118428 427870112 698236856 1396473712 2792947424 11084510089 22169020178 44338040356 88676080712 177352161424 354704322848