Search a number
-
+
3352205088 = 25343141719
BaseRepresentation
bin1100011111001110…
…1001011100100000
322122121202122220000
43013303221130200
523331131030323
61312345220000
7146033162451
oct30763513440
98577678800
103352205088
111470261331
12796791600
1341566030b
1423b2c9128
15149465e43
hexc7ce9720

3352205088 has 120 divisors (see below), whose sum is σ = 10177009920. Its totient is φ = 1081330560.

The previous prime is 3352205083. The next prime is 3352205099. The reversal of 3352205088 is 8805022533.

3352205088 is a `hidden beast` number, since 3 + 3 + 522 + 0 + 50 + 88 = 666.

3352205088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33522050882 = 22474557904026175488, which contains 22 as substring.

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 (3352205083) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59493 + ... + 101211.

It is an arithmetic number, because the mean of its divisors is an integer number (84808416).

Almost surely, 23352205088 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 3352205088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5088504960).

3352205088 is an abundant number, since it is smaller than the sum of its proper divisors (6824804832).

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

3352205088 is a wasteful number, since it uses less digits than its factorization.

3352205088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41772 (or 41755 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 3352205088 is about 57898.2304392803. The cubic root of 3352205088 is about 1496.6153444824.

The spelling of 3352205088 in words is "three billion, three hundred fifty-two million, two hundred five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 216 248 279 288 324 372 432 496 558 648 744 837 864 992 1116 1296 1488 1674 2232 2511 2592 2976 3348 4464 5022 6696 8928 10044 13392 20088 26784 40176 41719 80352 83438 125157 166876 250314 333752 375471 500628 667504 750942 1001256 1126413 1293289 1335008 1501884 2002512 2252826 2586578 3003768 3379239 3879867 4005024 4505652 5173156 6007536 6758478 7759734 9011304 10346312 11639601 12015072 13516956 15519468 18022608 20692624 23279202 27033912 31038936 34918803 36045216 41385248 46558404 54067824 62077872 69837606 93116808 104756409 108135648 124155744 139675212 186233616 209512818 279350424 372467232 419025636 558700848 838051272 1117401696 1676102544 3352205088