Search a number
-
+
3134554832 = 243143475359
BaseRepresentation
bin1011101011010101…
…1000001011010000
322002110012212212102
42322311120023100
522404421223312
61235012215532
7140451163553
oct27265301320
98073185772
103134554832
111369413492
1273590a5a8
133ac536296
1421a43069a
151352c1ec2
hexbad582d0

3134554832 has 160 divisors (see below), whose sum is σ = 6788136960. Its totient is φ = 1398458880.

The previous prime is 3134554783. The next prime is 3134554847. The reversal of 3134554832 is 2384554313.

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, 53128019 + ... + 53128077.

It is an arithmetic number, because the mean of its divisors is an integer number (42425856).

Almost surely, 23134554832 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 3134554832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3394068480).

3134554832 is an abundant number, since it is smaller than the sum of its proper divisors (3653582128).

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

3134554832 is a wasteful number, since it uses less digits than its factorization.

3134554832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 235 counting only the distinct ones).

The product of its digits is 172800, while the sum is 38.

The square root of 3134554832 is about 55987.0952273825. The cubic root of 3134554832 is about 1463.4974062854.

The spelling of 3134554832 in words is "three billion, one hundred thirty-four million, five hundred fifty-four thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 31 43 47 53 59 62 86 94 106 118 124 172 188 212 236 248 344 376 424 472 496 688 752 848 944 1333 1457 1643 1829 2021 2279 2491 2537 2666 2773 2914 3127 3286 3658 4042 4558 4982 5074 5332 5546 5828 6254 6572 7316 8084 9116 9964 10148 10664 11092 11656 12508 13144 14632 16168 18232 19928 20296 21328 22184 23312 25016 26288 29264 32336 36464 39856 40592 44368 50032 62651 70649 77221 78647 85963 96937 107113 119239 125302 134461 141298 146969 154442 157294 171926 193874 214226 238478 250604 268922 282596 293938 308884 314588 343852 387748 428452 476956 501208 537844 565192 587876 617768 629176 687704 775496 856904 953912 1002416 1075688 1130384 1175752 1235536 1258352 1375408 1550992 1713808 1907824 2151376 2351504 3320503 3696409 4168291 4556039 6319667 6641006 7392818 8336582 9112078 12639334 13282012 14785636 16673164 18224156 25278668 26564024 29571272 33346328 36448312 50557336 53128048 59142544 66692656 72896624 101114672 195909677 391819354 783638708 1567277416 3134554832