Search a number
-
+
297678240 = 25345103223
BaseRepresentation
bin10001101111100…
…011010110100000
3202202010121210000
4101233203112200
51102201200430
645312140000
710243136406
oct2157432640
9682117700
10297678240
11143039082
1283837600
1349897092
142b76b476
151b200e60
hex11be35a0

297678240 has 240 divisors, whose sum is σ = 1065512448. Its totient is φ = 78257664.

The previous prime is 297678239. The next prime is 297678247. The reversal of 297678240 is 42876792.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2976782402 = 177224669138995200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (297678247) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1334769 + ... + 1334991.

Almost surely, 2297678240 is an apocalyptic number.

297678240 is a gapful number since it is divisible by the number (20) 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 297678240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532756224).

297678240 is an abundant number, since it is smaller than the sum of its proper divisors (767834208).

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

297678240 is a wasteful number, since it uses less digits than its factorization.

297678240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 297678240 is about 17253.3544564528. The cubic root of 297678240 is about 667.7015172397.

The spelling of 297678240 in words is "two hundred ninety-seven million, six hundred seventy-eight thousand, two hundred forty".