Search a number
-
+
1434784512 = 2837299203
BaseRepresentation
bin101010110000101…
…0001001100000000
310200222210121100010
41111201101030000
510414301101022
6354212224520
750361316140
oct12541211400
93628717303
101434784512
11676997927
1234060b140
1319b33a425
14d87a8920
1585e6650c
hex55851300

1434784512 has 144 divisors (see below), whose sum is σ = 4515114240. Its totient is φ = 395759616.

The previous prime is 1434784499. The next prime is 1434784529. The reversal of 1434784512 is 2154874341.

It is a super-4 number, since 4×14347845124 (a number of 38 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151303 + ... + 160505.

It is an arithmetic number, because the mean of its divisors is an integer number (31354960).

Almost surely, 21434784512 is an apocalyptic number.

1434784512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1434784512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257557120).

1434784512 is an abundant number, since it is smaller than the sum of its proper divisors (3080329728).

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

1434784512 is an equidigital number, since it uses as much as digits as its factorization.

1434784512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9258 (or 9244 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 1434784512 is about 37878.5494970438. The cubic root of 1434784512 is about 1127.8782626028.

The spelling of 1434784512 in words is "one billion, four hundred thirty-four million, seven hundred eighty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 128 168 174 192 203 224 232 256 336 348 384 406 448 464 609 672 696 768 812 896 928 1218 1344 1392 1624 1792 1856 2436 2688 2784 3248 3712 4872 5376 5568 6496 7424 9203 9744 11136 12992 18406 19488 22272 25984 27609 36812 38976 51968 55218 64421 73624 77952 110436 128842 147248 155904 193263 220872 257684 266887 294496 386526 441744 515368 533774 588992 773052 800661 883488 1030736 1067548 1177984 1546104 1601322 1766976 1868209 2061472 2135096 2355968 3092208 3202644 3533952 3736418 4122944 4270192 5604627 6184416 6405288 7067904 7472836 8245888 8540384 11209254 12368832 12810576 14945672 16491776 17080768 22418508 24737664 25621152 29891344 34161536 44837016 49475328 51242304 59782688 68323072 89674032 102484608 119565376 179348064 204969216 239130752 358696128 478261504 717392256 1434784512