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274451940 = 223257229237
BaseRepresentation
bin10000010110111…
…100110111100100
3201010102121021200
4100112330313210
51030224430230
643122242500
76541542300
oct2026746744
9633377250
10274451940
11130a14894
1277ab6430
1344b242c9
1428642d00
1519164160
hex105bcde4

274451940 has 324 divisors, whose sum is σ = 1030075956. Its totient is φ = 58931712.

The previous prime is 274451923. The next prime is 274451971. The reversal of 274451940 is 49154472.

It is a happy number.

274451940 is a `hidden beast` number, since 27 + 445 + 194 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8892324 + 265559616 = 2982^2 + 16296^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 274451895 and 274451904.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7417602 + ... + 7417638.

Almost surely, 2274451940 is an apocalyptic number.

274451940 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 274451940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515037978).

274451940 is an abundant number, since it is smaller than the sum of its proper divisors (755624016).

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

274451940 is a wasteful number, since it uses less digits than its factorization.

274451940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 274451940 is about 16566.5910796398. The cubic root of 274451940 is about 649.8634348205.

The spelling of 274451940 in words is "two hundred seventy-four million, four hundred fifty-one thousand, nine hundred forty".