Search a number
-
+
301343906704 = 241923122332
BaseRepresentation
bin1000110001010010111…
…11110001101110010000
31001210211011201120011111
410120221133301232100
514414123020003304
6350234021423104
730525403641601
oct4305137615620
91053734646144
10301343906704
111068878632a5
124a49b56aa94
132255539a689
1410829811da8
157c8a673704
hex46297f1b90

301343906704 has 135 divisors (see below), whose sum is σ = 639463354929. Its totient is φ = 137544410880.

The previous prime is 301343906687. The next prime is 301343906711. The reversal of 301343906704 is 407609343103.

It is a happy number.

The square root of 301343906704 is 548948.

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., 61196864400 + 240147042304 = 247380^2 + 490048^2 .

It is a super-2 number, since 2×3013439067042 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1293321372 + ... + 1293321604.

Almost surely, 2301343906704 is an apocalyptic number.

301343906704 is the 548948-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 301343906704

301343906704 is an abundant number, since it is smaller than the sum of its proper divisors (338119448225).

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

301343906704 is an equidigital number, since it uses as much as digits as its factorization.

301343906704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 40.

The spelling of 301343906704 in words is "three hundred one billion, three hundred forty-three million, nine hundred six thousand, seven hundred four".

Divisors: 1 2 4 8 16 19 31 38 62 76 124 152 233 248 304 361 466 496 589 722 932 961 1178 1444 1864 1922 2356 2888 3728 3844 4427 4712 5776 7223 7688 8854 9424 11191 14446 15376 17708 18259 22382 28892 35416 36518 44764 54289 57784 70832 73036 84113 89528 108578 115568 137237 146072 168226 179056 217156 223913 274474 292144 336452 346921 434312 447826 548948 672904 693842 868624 895652 1031491 1097896 1345808 1387684 1682959 1791304 2062982 2195792 2607503 2775368 3365918 3582608 4125964 4254347 5215006 5550736 6731836 8251928 8508694 10430012 13463672 16503856 17017388 19598329 20860024 26927344 31976221 34034776 39196658 41720048 52171729 63952442 68069552 78393316 80832593 104343458 127904884 156786632 161665186 208686916 255809768 313573264 323330372 417373832 511619536 607548199 646660744 834747664 991262851 1215096398 1293321488 1982525702 2430192796 3965051404 4860385592 7930102808 9720771184 15860205616 18833994169 37667988338 75335976676 150671953352 301343906704