Search a number
-
+
1734460068 = 22311193471993
BaseRepresentation
bin110011101100001…
…1100001010100100
311110212200200220210
41213120130022210
512023010210233
6444035255420
760660444615
oct14730341244
94425620823
101734460068
1181006a580
12404a4a570
13218453643
141264d5c0c
15a240e163
hex6761c2a4

1734460068 has 96 divisors (see below), whose sum is σ = 4663088640. Its totient is φ = 496247040.

The previous prime is 1734460067. The next prime is 1734460081. The reversal of 1734460068 is 8600644371.

It is not an unprimeable number, because it can be changed into a prime (1734460067) 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, 869280 + ... + 871272.

It is an arithmetic number, because the mean of its divisors is an integer number (48573840).

Almost surely, 21734460068 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 1734460068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331544320).

1734460068 is an abundant number, since it is smaller than the sum of its proper divisors (2928628572).

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

1734460068 is a wasteful number, since it uses less digits than its factorization.

1734460068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 1734460068 is about 41646.8494366621. The cubic root of 1734460068 is about 1201.4935264888.

The spelling of 1734460068 in words is "one billion, seven hundred thirty-four million, four hundred sixty thousand, sixty-eight".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 347 418 627 694 836 1041 1254 1388 1993 2082 2508 3817 3986 4164 5979 6593 7634 7972 11451 11958 13186 15268 19779 21923 22902 23916 26372 37867 39558 43846 45804 65769 72523 75734 79116 87692 113601 131538 145046 151468 217569 227202 263076 290092 416537 435138 454404 691571 833074 870276 1249611 1383142 1666148 2074713 2499222 2766284 4149426 4998444 7607281 8298852 13139849 15214562 22821843 26279698 30429124 39419547 45643686 52559396 78839094 91287372 144538339 157678188 289076678 433615017 578153356 867230034 1734460068