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1308474000 = 24345341197
BaseRepresentation
bin100110111111101…
…1011101010010000
310101012010100220000
41031333123222100
510134432132000
6333501050000
744265563001
oct11577335220
93335110800
101308474000
11611665979
12306256900
1317b114092
14c5ac91a8
1579d16000
hex4dfdba90

1308474000 has 400 divisors, whose sum is σ = 4866157296. Its totient is φ = 338688000.

The previous prime is 1308473987. The next prime is 1308474043. The reversal of 1308474000 is 4748031.

It can be written as a sum of positive squares in 8 ways, for example, as 376515216 + 931958784 = 19404^2 + 30528^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6641902 + ... + 6642098.

Almost surely, 21308474000 is an apocalyptic number.

1308474000 is a gapful number since it is divisible by the number (10) 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 1308474000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433078648).

1308474000 is an abundant number, since it is smaller than the sum of its proper divisors (3557683296).

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

1308474000 is a wasteful number, since it uses less digits than its factorization.

1308474000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1308474000 is about 36172.8351114479. The cubic root of 1308474000 is about 1093.7591498554.

The spelling of 1308474000 in words is "one billion, three hundred eight million, four hundred seventy-four thousand".