Search a number
-
+
300457040 = 245132511151
BaseRepresentation
bin10001111010001…
…001110001010000
3202221100210120112
4101322021301100
51103404111130
645451500452
710305562022
oct2172116120
9687323515
10300457040
11144666904
1284757728
134a32ab40
142bc92012
151b59e495
hex11e89c50

300457040 has 80 divisors (see below), whose sum is σ = 755951616. Its totient is φ = 110400000.

The previous prime is 300457007. The next prime is 300457063. The reversal of 300457040 is 40754003.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 300456997 and 300457015.

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, 260465 + ... + 261615.

Almost surely, 2300457040 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 300457040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377975808).

300457040 is an abundant number, since it is smaller than the sum of its proper divisors (455494576).

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

300457040 is a wasteful number, since it uses less digits than its factorization.

300457040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 300457040 is about 17333.6966628587. The cubic root of 300457040 is about 669.7727305208.

The spelling of 300457040 in words is "three hundred million, four hundred fifty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 251 260 502 520 1004 1040 1151 1255 2008 2302 2510 3263 4016 4604 5020 5755 6526 9208 10040 11510 13052 14963 16315 18416 20080 23020 26104 29926 32630 46040 52208 59852 65260 74815 92080 119704 130520 149630 239408 261040 288901 299260 577802 598520 1155604 1197040 1444505 2311208 2889010 3755713 4622416 5778020 7511426 11556040 15022852 18778565 23112080 30045704 37557130 60091408 75114260 150228520 300457040