Search a number
-
+
3355406704 = 2413234714923
BaseRepresentation
bin1100011111111111…
…0111000101110000
322122211210022200101
43013333313011300
523332441003304
61312542002144
7146102325556
oct30777670560
98584708611
103355406704
1114720487a1
12797876354
13416211670
1423b8bdbd6
151498998a4
hexc7ff7170

3355406704 has 80 divisors (see below), whose sum is σ = 7461522432. Its totient is φ = 1449702144.

The previous prime is 3355406701. The next prime is 3355406713. The reversal of 3355406704 is 4076045533.

It is a super-3 number, since 3×33554067043 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3355406701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217387 + ... + 232309.

Almost surely, 23355406704 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 3355406704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3730761216).

3355406704 is an abundant number, since it is smaller than the sum of its proper divisors (4106115728).

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

3355406704 is a wasteful number, since it uses less digits than its factorization.

3355406704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15014 (or 15008 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 37.

The square root of 3355406704 is about 57925.8724923501. The cubic root of 3355406704 is about 1497.0916541422.

The spelling of 3355406704 in words is "three billion, three hundred fifty-five million, four hundred six thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 23 26 46 47 52 92 94 104 184 188 208 299 368 376 598 611 752 1081 1196 1222 2162 2392 2444 4324 4784 4888 8648 9776 14053 14923 17296 28106 29846 56212 59692 112424 119384 193999 224848 238768 343229 387998 686458 701381 775996 1372916 1402762 1551992 2745832 2805524 3103984 4461977 5491664 5611048 8923954 9117953 11222096 16131763 17847908 18235906 32263526 35695816 36471812 64527052 71391632 72943624 129054104 145887248 209712919 258108208 419425838 838851676 1677703352 3355406704