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974134580 = 2254111310513
BaseRepresentation
bin111010000100000…
…001110100110100
32111220000011102112
4322010001310310
53443334301310
6240355030152
733066002336
oct7204016464
92456004375
10974134580
1145a967801
1223229b358
13126a820c3
1493537456
155a7c2705
hex3a101d34

974134580 has 48 divisors (see below), whose sum is σ = 2114323344. Its totient is φ = 376750080.

The previous prime is 974134531. The next prime is 974134589. The reversal of 974134580 is 85431479.

It can be written as a sum of positive squares in 8 ways, for example, as 745399204 + 228735376 = 27302^2 + 15124^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (974134589) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87404 + ... + 97916.

It is an arithmetic number, because the mean of its divisors is an integer number (44048403).

Almost surely, 2974134580 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 974134580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057161672).

974134580 is an abundant number, since it is smaller than the sum of its proper divisors (1140188764).

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

974134580 is a wasteful number, since it uses less digits than its factorization.

974134580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10676 (or 10674 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 974134580 is about 31211.1291048562. The cubic root of 974134580 is about 991.3027708294.

The spelling of 974134580 in words is "nine hundred seventy-four million, one hundred thirty-four thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 41 82 113 164 205 226 410 452 565 820 1130 2260 4633 9266 10513 18532 21026 23165 42052 46330 52565 92660 105130 210260 431033 862066 1187969 1724132 2155165 2375938 4310330 4751876 5939845 8620660 11879690 23759380 48706729 97413458 194826916 243533645 487067290 974134580