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274405640 = 23523461647
BaseRepresentation
bin10000010110110…
…001100100001000
3201010100020202212
4100112301210020
51030221440030
643121244252
76541260305
oct2026614410
9633306685
10274405640
11130993023
1277a93688
1344b09202
14286300ac
1519155595
hex105b1908

274405640 has 64 divisors (see below), whose sum is σ = 646652160. Its totient is φ = 104600320.

The previous prime is 274405639. The next prime is 274405643. The reversal of 274405640 is 46504472.

It is a junction number, because it is equal to n+sod(n) for n = 274405597 and 274405606.

It is not an unprimeable number, because it can be changed into a prime (274405643) 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, 423797 + ... + 424443.

It is an arithmetic number, because the mean of its divisors is an integer number (10103940).

Almost surely, 2274405640 is an apocalyptic number.

274405640 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 274405640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323326080).

274405640 is an abundant number, since it is smaller than the sum of its proper divisors (372246520).

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

274405640 is a wasteful number, since it uses less digits than its factorization.

274405640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The square root of 274405640 is about 16565.1936300183. The cubic root of 274405640 is about 649.8268888115.

The spelling of 274405640 in words is "two hundred seventy-four million, four hundred five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 461 647 920 922 1294 1844 2305 2588 3235 3688 4610 5176 6470 9220 10603 12940 14881 18440 21206 25880 29762 42412 53015 59524 74405 84824 106030 119048 148810 212060 297620 298267 424120 595240 596534 1193068 1491335 2386136 2982670 5965340 6860141 11930680 13720282 27440564 34300705 54881128 68601410 137202820 274405640