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603390096 = 2432232892
BaseRepresentation
bin100011111101110…
…000000010010000
31120001101101121100
4203331300002100
52213431440341
6135512424400
720644505541
oct4375600220
91501341540
10603390096
1128a663a01
1214a0a8100
139801497a
145a1ca4c8
1537e8c3b6
hex23f70090

603390096 has 135 divisors (see below), whose sum is σ = 1785323449. Its totient is φ = 190223616.

The previous prime is 603390079. The next prime is 603390097. The reversal of 603390096 is 690093306.

The square root of 603390096 is 24564.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 115863696 + 487526400 = 10764^2 + 22080^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 603390096.

It is not an unprimeable number, because it can be changed into a prime (603390097) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6779620 + ... + 6779708.

Almost surely, 2603390096 is an apocalyptic number.

603390096 is the 24564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 603390096

603390096 is an abundant number, since it is smaller than the sum of its proper divisors (1181933353).

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

603390096 is a wasteful number, since it uses less digits than its factorization.

603390096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The cubic root of 603390096 is about 845.0181927155.

Multiplying 603390096 by its sum of digits (36), we get a square (21722043456 = 1473842).

603390096 divided by its sum of digits (36) gives a square (16760836 = 40942).

Multiplying 603390096 by its product of nonzero digits (26244), we get a square (15835369679424 = 39793682).

The spelling of 603390096 in words is "six hundred three million, three hundred ninety thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 89 92 138 144 178 184 207 267 276 356 368 414 529 534 552 712 801 828 1058 1068 1104 1424 1587 1602 1656 2047 2116 2136 3174 3204 3312 4094 4232 4272 4761 6141 6348 6408 7921 8188 8464 9522 12282 12696 12816 15842 16376 18423 19044 23763 24564 25392 31684 32752 36846 38088 47081 47526 49128 63368 71289 73692 76176 94162 95052 98256 126736 141243 142578 147384 182183 188324 190104 282486 285156 294768 364366 376648 380208 423729 546549 564972 570312 728732 753296 847458 1093098 1129944 1140624 1457464 1639647 1694916 2186196 2259888 2914928 3279294 3389832 4190209 4372392 6558588 6779664 8380418 8744784 12570627 13117176 16760836 25141254 26234352 33521672 37711881 50282508 67043344 75423762 100565016 150847524 201130032 301695048 603390096