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3352525380 = 2232531219381
BaseRepresentation
bin1100011111010011…
…0111101001000100
322122122100221020200
43013310313221010
523331221303010
61312400130500
7146035665321
oct30764675104
98578327220
103352525380
11147045aa36
12796906a30
13415743039
1423b36db48
151494cacc0
hexc7d37a44

3352525380 has 108 divisors (see below), whose sum is σ = 10508493996. Its totient is φ = 865123200.

The previous prime is 3352525331. The next prime is 3352525387. The reversal of 3352525380 is 835252533.

3352525380 is a `hidden beast` number, since 3 + 3 + 52 + 525 + 3 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1926858816 + 1425666564 = 43896^2 + 37758^2 .

It is a super-2 number, since 2×33525253802 = 22478852847088288800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3352525387) 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 35 ways as a sum of consecutive naturals, for example, 163290 + ... + 182670.

Almost surely, 23352525380 is an apocalyptic number.

3352525380 is a gapful number since it is divisible by the number (30) 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 3352525380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5254246998).

3352525380 is an abundant number, since it is smaller than the sum of its proper divisors (7155968616).

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

3352525380 is a wasteful number, since it uses less digits than its factorization.

3352525380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19458 (or 19422 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 3352525380 is about 57900.9963644841. The cubic root of 3352525380 is about 1496.6630084969.

The spelling of 3352525380 in words is "three billion, three hundred fifty-two million, five hundred twenty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 961 1116 1395 1860 1922 2790 2883 3844 4805 5580 5766 8649 9610 11532 14415 17298 19220 19381 28830 34596 38762 43245 57660 58143 77524 86490 96905 116286 172980 174429 193810 232572 290715 348858 387620 581430 600811 697716 872145 1162860 1201622 1744290 1802433 2403244 3004055 3488580 3604866 5407299 6008110 7209732 9012165 10814598 12016220 18024330 18625141 21629196 27036495 36048660 37250282 54072990 55875423 74500564 93125705 108145980 111750846 167626269 186251410 223501692 279377115 335252538 372502820 558754230 670505076 838131345 1117508460 1676262690 3352525380