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3354062064 = 243616611733
BaseRepresentation
bin1100011111101010…
…1110110011110000
322122202021000011220
43013322232303300
523332114441224
61312453105040
7146055025413
oct30772566360
98582230156
103354062064
11147130a521
12797328180
13415b60612
1423b64db7a
151496d1279
hexc7eaecf0

3354062064 has 80 divisors (see below), whose sum is σ = 8825116704. Its totient is φ = 1097395200.

The previous prime is 3354062053. The next prime is 3354062069. The reversal of 3354062064 is 4602604533.

It is a super-2 number, since 2×33540620642 = 22499464658327880192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3354062069) 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, 1934542 + ... + 1936274.

Almost surely, 23354062064 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 3354062064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4412558352).

3354062064 is an abundant number, since it is smaller than the sum of its proper divisors (5471054640).

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

3354062064 is a wasteful number, since it uses less digits than its factorization.

3354062064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The square root of 3354062064 is about 57914.2647712979. The cubic root of 3354062064 is about 1496.8916467649.

Adding to 3354062064 its reverse (4602604533), we get a palindrome (7956666597).

The spelling of 3354062064 in words is "three billion, three hundred fifty-four million, sixty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 661 732 976 1322 1464 1733 1983 2644 2928 3466 3966 5199 5288 6932 7932 10398 10576 13864 15864 20796 27728 31728 40321 41592 80642 83184 105713 120963 161284 211426 241926 317139 322568 422852 483852 634278 645136 845704 967704 1145513 1268556 1691408 1935408 2291026 2537112 3436539 4582052 5074224 6873078 9164104 13746156 18328208 27492312 54984624 69876293 139752586 209628879 279505172 419257758 559010344 838515516 1118020688 1677031032 3354062064