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3355361316 = 2232195578807
BaseRepresentation
bin1100011111111110…
…1100000000100100
322122211201000102100
43013333230000210
523332433030231
61312541012100
7146102046336
oct30777540044
98584630370
103355361316
11147201768a
12797854030
134161c6ac8
1423b8ab456
1514988b1e6
hexc7fec024

3355361316 has 72 divisors (see below), whose sum is σ = 8945052480. Its totient is φ = 1057565376.

The previous prime is 3355361311. The next prime is 3355361341. The reversal of 3355361316 is 6131635533.

3355361316 is a `hidden beast` number, since 3 + 35 + 5 + 3 + 613 + 1 + 6 = 666.

3355361316 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 2×33553613162 = 22516899121818503712, 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 (3355361311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376585 + ... + 385391.

It is an arithmetic number, because the mean of its divisors is an integer number (124236840).

Almost surely, 23355361316 is an apocalyptic number.

3355361316 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 3355361316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4472526240).

3355361316 is an abundant number, since it is smaller than the sum of its proper divisors (5589691164).

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

3355361316 is a wasteful number, since it uses less digits than its factorization.

3355361316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9393 (or 9388 counting only the distinct ones).

The product of its digits is 72900, while the sum is 36.

The square root of 3355361316 is about 57925.4807144490. The cubic root of 3355361316 is about 1497.0849038127.

Adding to 3355361316 its reverse (6131635533), we get a palindrome (9486996849).

The spelling of 3355361316 in words is "three billion, three hundred fifty-five million, three hundred sixty-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 557 684 1114 1671 2228 3342 5013 6684 8807 10026 10583 17614 20052 21166 26421 31749 35228 42332 52842 63498 79263 95247 105684 126996 158526 167333 190494 317052 334666 380988 501999 669332 1003998 1505997 2007996 3011994 4905499 6023988 9810998 14716497 19621996 29432994 44149491 58865988 88298982 93204481 176597964 186408962 279613443 372817924 559226886 838840329 1118453772 1677680658 3355361316