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488000340 = 223253976829
BaseRepresentation
bin11101000101100…
…100101101010100
31021000020222121200
4131011210231110
51444412002330
6120231312500
715043635342
oct3505445524
91230228550
10488000340
11230510973
1211751b730
137a1432c9
1448b50992
152cc97a60
hex1d164b54

488000340 has 72 divisors (see below), whose sum is σ = 1484213640. Its totient is φ = 129786624.

The previous prime is 488000339. The next prime is 488000347. The reversal of 488000340 is 43000884.

It can be written as a sum of positive squares in 4 ways, for example, as 84713616 + 403286724 = 9204^2 + 20082^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488000347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68046 + ... + 74874.

Almost surely, 2488000340 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 488000340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742106820).

488000340 is an abundant number, since it is smaller than the sum of its proper divisors (996213300).

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

488000340 is a wasteful number, since it uses less digits than its factorization.

488000340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7241 (or 7236 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 488000340 is about 22090.7297299116. The cubic root of 488000340 is about 787.2996194632.

The spelling of 488000340 in words is "four hundred eighty-eight million, three hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 397 794 1191 1588 1985 2382 3573 3970 4764 5955 6829 7146 7940 11910 13658 14292 17865 20487 23820 27316 34145 35730 40974 61461 68290 71460 81948 102435 122922 136580 204870 245844 307305 409740 614610 1229220 2711113 5422226 8133339 10844452 13555565 16266678 24400017 27111130 32533356 40666695 48800034 54222260 81333390 97600068 122000085 162666780 244000170 488000340