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352255440 = 24351977249
BaseRepresentation
bin10100111111101…
…111110111010000
3220112211102121210
4110333233313100
51210134133230
654542020120
711505056535
oct2477576720
9815742553
10352255440
111709257a9
1299b77640
1357c95994
1434ad6d8c
1520dd1eb0
hex14fefdd0

352255440 has 80 divisors (see below), whose sum is σ = 1149480000. Its totient is φ = 88989696.

The previous prime is 352255439. The next prime is 352255447. The reversal of 352255440 is 44552253.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 352255398 and 352255407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352255447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34065 + ... + 43184.

It is an arithmetic number, because the mean of its divisors is an integer number (14368500).

Almost surely, 2352255440 is an apocalyptic number.

352255440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

352255440 is an abundant number, since it is smaller than the sum of its proper divisors (797224560).

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

352255440 is a wasteful number, since it uses less digits than its factorization.

352255440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77284 (or 77278 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 352255440 is about 18768.4693035953. The cubic root of 352255440 is about 706.2404197411.

The spelling of 352255440 in words is "three hundred fifty-two million, two hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 77249 154498 231747 308996 386245 463494 617992 772490 926988 1158735 1235984 1467731 1544980 1853976 2317470 2935462 3089960 3707952 4403193 4634940 5870924 6179920 7338655 8806386 9269880 11741848 14677310 17612772 18539760 22015965 23483696 29354620 35225544 44031930 58709240 70451088 88063860 117418480 176127720 352255440