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352296048 = 243132137317
BaseRepresentation
bin10100111111111…
…001110001110000
3220112220111022210
4110333321301300
51210141433143
654542532120
711505316116
oct2477716160
9815814283
10352296048
11170953265
1299b97040
1357cab300
1434b07ab6
1520dde033
hex14ff9c70

352296048 has 120 divisors (see below), whose sum is σ = 995815728. Its totient is φ = 107268096.

The previous prime is 352296041. The next prime is 352296053. The reversal of 352296048 is 840692253.

It is a happy number.

It is a super-2 number, since 2×3522960482 = 248225010872836608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 352295997 and 352296015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352296041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1111186 + ... + 1111502.

Almost surely, 2352296048 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 352296048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497907864).

352296048 is an abundant number, since it is smaller than the sum of its proper divisors (643519680).

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

352296048 is a wasteful number, since it uses less digits than its factorization.

352296048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 352296048 is about 18769.5510868001. The cubic root of 352296048 is about 706.2675571587.

The spelling of 352296048 in words is "three hundred fifty-two million, two hundred ninety-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 137 156 169 208 274 312 317 338 411 507 548 624 634 676 822 951 1014 1096 1268 1352 1644 1781 1902 2028 2192 2536 2704 3288 3562 3804 4056 4121 5072 5343 6576 7124 7608 8112 8242 10686 12363 14248 15216 16484 21372 23153 24726 28496 32968 42744 43429 46306 49452 53573 65936 69459 85488 86858 92612 98904 107146 130287 138918 160719 173716 185224 197808 214292 260574 277836 321438 347432 370448 428584 521148 555672 564577 642876 694864 857168 1042296 1111344 1129154 1285752 1693731 2084592 2258308 2571504 3387462 4516616 6774924 7339501 9033232 13549848 14679002 22018503 27099696 29358004 44037006 58716008 88074012 117432016 176148024 352296048