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354848076 = 2232115771553
BaseRepresentation
bin10101001001101…
…000110101001100
3220201201011001100
4111021220311030
51211320114301
655113343100
711536105332
oct2511506514
9821634040
10354848076
11172336680
129aa07a90
1358692a9b
14351adb52
1521245286
hex15268d4c

354848076 has 72 divisors (see below), whose sum is σ = 980847504. Its totient is φ = 107274240.

The previous prime is 354847993. The next prime is 354848077. The reversal of 354848076 is 670848453.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (354848077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227716 + ... + 229268.

It is an arithmetic number, because the mean of its divisors is an integer number (13622882).

Almost surely, 2354848076 is an apocalyptic number.

354848076 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354848076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490423752).

354848076 is an abundant number, since it is smaller than the sum of its proper divisors (625999428).

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

354848076 is a wasteful number, since it uses less digits than its factorization.

354848076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 354848076 is about 18837.4116056320. The cubic root of 354848076 is about 707.9688533650.

The spelling of 354848076 in words is "three hundred fifty-four million, eight hundred forty-eight thousand, seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 577 1154 1553 1731 2308 3106 3462 4659 5193 6212 6347 6924 9318 10386 12694 13977 17083 18636 19041 20772 25388 27954 34166 38082 51249 55908 57123 68332 76164 102498 114246 153747 204996 228492 307494 614988 896081 1792162 2688243 3584324 5376486 8064729 9856891 10752972 16129458 19713782 29570673 32258916 39427564 59141346 88712019 118282692 177424038 354848076