Search a number
-
+
306020413464 = 2331723273111941
BaseRepresentation
bin1000111010000000011…
…11001111000000011000
31002020220002101201102120
410131000033033000120
520003212211212324
6352330035301240
731052320411233
oct4350017170030
91066802351376
10306020413464
11108867600017
124b38574a820
1322b1c1c403c
1410b5094641a
157e60eca179
hex47403cf018

306020413464 has 128 divisors (see below), whose sum is σ = 845654100480. Its totient is φ = 91790899200.

The previous prime is 306020413459. The next prime is 306020413477. The reversal of 306020413464 is 464314020603.

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, 25621734 + ... + 25633674.

It is an arithmetic number, because the mean of its divisors is an integer number (6606672660).

Almost surely, 2306020413464 is an apocalyptic number.

306020413464 is a gapful number since it is divisible by the number (34) 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 306020413464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422827050240).

306020413464 is an abundant number, since it is smaller than the sum of its proper divisors (539633687016).

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

306020413464 is a wasteful number, since it uses less digits than its factorization.

306020413464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14721 (or 14717 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 306020413464 in words is "three hundred six billion, twenty million, four hundred thirteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 204 276 391 408 552 782 1173 1564 2346 2731 3128 4692 5462 8193 9384 10924 11941 16386 21848 23882 32772 35823 46427 47764 62813 65544 71646 92854 95528 125626 139281 143292 185708 188439 202997 251252 274643 278562 286584 371416 376878 405994 502504 549286 557124 608991 753756 811988 823929 1067821 1098572 1114248 1217982 1507512 1623976 1647858 2135642 2197144 2435964 3203463 3295716 4271284 4668931 4871928 6406926 6591432 8542568 9337862 12813852 14006793 18675724 25627704 28013586 32610871 37351448 56027172 65221742 97832613 112054344 130443484 195665226 260886968 391330452 554384807 750050033 782660904 1108769614 1500100066 1663154421 2217539228 2250150099 3000200132 3326308842 4435078456 4500300198 6000400264 6652617684 9000600396 12750850561 13305235368 18001200792 25501701122 38252551683 51003402244 76505103366 102006804488 153010206732 306020413464