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352884378 = 237211195743
BaseRepresentation
bin10101000010001…
…001011010011010
3220121000101100210
4111002021122122
51210314300003
655003311550
711513316300
oct2502113232
9817011323
10352884378
11171215290
129a21b5b6
1358156032
1434c1c270
1520ea8503
hex1508969a

352884378 has 96 divisors (see below), whose sum is σ = 942935040. Its totient is φ = 86819040.

The previous prime is 352884373. The next prime is 352884379. The reversal of 352884378 is 873488253.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (352884373) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58575 + ... + 64317.

It is an arithmetic number, because the mean of its divisors is an integer number (9822240).

Almost surely, 2352884378 is an apocalyptic number.

352884378 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 352884378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471467520).

352884378 is an abundant number, since it is smaller than the sum of its proper divisors (590050662).

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

352884378 is a wasteful number, since it uses less digits than its factorization.

352884378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5792 (or 5785 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 352884378 is about 18785.2170069978. The cubic root of 352884378 is about 706.6604911746.

The spelling of 352884378 in words is "three hundred fifty-two million, eight hundred eighty-four thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 49 57 66 77 98 114 133 147 154 209 231 266 294 399 418 462 539 627 798 931 1078 1254 1463 1617 1862 2793 2926 3234 4389 5586 5743 8778 10241 11486 17229 20482 30723 34458 40201 61446 63173 80402 109117 120603 126346 189519 218234 241206 281407 327351 379038 442211 562814 654702 763819 844221 884422 1200287 1326633 1527638 1688442 2291457 2400574 2653266 3095477 3600861 4582914 5346733 6190954 7201722 8402009 9286431 10693466 16040199 16804018 18572862 25206027 32080398 50412054 58814063 117628126 176442189 352884378