[go: up one dir, main page]

Search a number
-
+
451034004 = 223173173977
BaseRepresentation
bin11010111000100…
…011101110010100
31011102200220100010
4122320203232110
51410431042004
6112431120220
714114503641
oct3270435624
91142626303
10451034004
11211662583
12107073070
137259c535
1443c8adc8
15298e4a89
hex1ae23b94

451034004 has 96 divisors (see below), whose sum is σ = 1167215616. Its totient is φ = 134922240.

The previous prime is 451033991. The next prime is 451034053. The reversal of 451034004 is 400430154.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 461164 + ... + 462140.

It is an arithmetic number, because the mean of its divisors is an integer number (12158496).

Almost surely, 2451034004 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 451034004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583607808).

451034004 is an abundant number, since it is smaller than the sum of its proper divisors (716181612).

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

451034004 is a wasteful number, since it uses less digits than its factorization.

451034004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 451034004 is about 21237.5611594175. The cubic root of 451034004 is about 766.8959219455.

Adding to 451034004 its reverse (400430154), we get a palindrome (851464158).

The spelling of 451034004 in words is "four hundred fifty-one million, thirty-four thousand, four".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 73 93 102 124 146 186 204 219 292 372 438 527 876 977 1054 1241 1581 1954 2108 2263 2482 2931 3162 3723 3908 4526 4964 5862 6324 6789 7446 9052 11724 13578 14892 16609 27156 30287 33218 38471 49827 60574 66436 71321 76942 90861 99654 115413 121148 142642 153884 181722 199308 213963 230826 285284 363444 427926 461652 514879 855852 1029758 1212457 1544637 2059516 2210951 2424914 3089274 3637371 4421902 4849828 6178548 6632853 7274742 8843804 13265706 14549484 26531412 37586167 75172334 112758501 150344668 225517002 451034004