Search a number
-
+
3351777072 = 2437431132053
BaseRepresentation
bin1100011111001000…
…0000111100110000
322122120221220202120
43013302000330300
523331023331242
61312332114240
7146026430550
oct30762007460
98576856676
103351777072
11146aa997a6
12796605980
13415540557
1423b217160
151493ce1ec
hexc7c80f30

3351777072 has 160 divisors (see below), whose sum is σ = 10220441088. Its totient is φ = 926650368.

The previous prime is 3351777067. The next prime is 3351777073. The reversal of 3351777072 is 2707771533.

It is a super-2 number, since 2×33517770722 = 22468819080769786368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3351777073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1631598 + ... + 1633650.

Almost surely, 23351777072 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 3351777072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5110220544).

3351777072 is an abundant number, since it is smaller than the sum of its proper divisors (6868664016).

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

3351777072 is a wasteful number, since it uses less digits than its factorization.

3351777072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2227 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 216090, while the sum is 42.

The square root of 3351777072 is about 57894.5340425156. The cubic root of 3351777072 is about 1496.5516448616.

The spelling of 3351777072 in words is "three billion, three hundred fifty-one million, seven hundred seventy-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 84 86 112 113 129 168 172 226 258 301 336 339 344 452 516 602 678 688 791 903 904 1032 1204 1356 1582 1806 1808 2053 2064 2373 2408 2712 3164 3612 4106 4746 4816 4859 5424 6159 6328 7224 8212 9492 9718 12318 12656 14371 14448 14577 16424 18984 19436 24636 28742 29154 32848 34013 37968 38872 43113 49272 57484 58308 68026 77744 86226 88279 98544 102039 114968 116616 136052 172452 176558 204078 229936 231989 233232 264837 272104 344904 353116 408156 463978 529674 544208 617953 689808 695967 706232 816312 927956 1059348 1235906 1391934 1412464 1623923 1632624 1853859 1855912 2118696 2471812 2783868 3247846 3707718 3711824 4237392 4871769 4943624 5567736 6495692 7415436 9743538 9887248 9975527 11135472 12991384 14830872 19487076 19951054 25982768 29661744 29926581 38974152 39902108 59853162 69828689 77948304 79804216 119706324 139657378 159608432 209486067 239412648 279314756 418972134 478825296 558629512 837944268 1117259024 1675888536 3351777072