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274140864 = 26322320693
BaseRepresentation
bin10000010101110…
…000111011000000
3201002211210120100
4100111300323000
51030140001424
643111442400
76536105334
oct2025607300
9632753510
10274140864
111308220a8
1277986400
1344a4583a
14285a17c4
1519101dc9
hex10570ec0

274140864 has 84 divisors (see below), whose sum is σ = 819979056. Its totient is φ = 87403008.

The previous prime is 274140851. The next prime is 274140899. The reversal of 274140864 is 468041472.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2902 + ... + 23594.

Almost surely, 2274140864 is an apocalyptic number.

274140864 is a gapful number since it is divisible by the number (24) 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 274140864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409989528).

274140864 is an abundant number, since it is smaller than the sum of its proper divisors (545838192).

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

274140864 is a wasteful number, since it uses less digits than its factorization.

274140864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20734 (or 20721 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 274140864 is about 16557.1997632450. The cubic root of 274140864 is about 649.6178139857.

It can be divided in two parts, 2741408 and 64, that added together give a palindrome (2741472).

The spelling of 274140864 in words is "two hundred seventy-four million, one hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1104 1472 1656 2208 3312 4416 6624 13248 20693 41386 62079 82772 124158 165544 186237 248316 331088 372474 475939 496632 662176 744948 951878 993264 1324352 1427817 1489896 1903756 1986528 2855634 2979792 3807512 3973056 4283451 5711268 5959584 7615024 8566902 11422536 11919168 15230048 17133804 22845072 30460096 34267608 45690144 68535216 91380288 137070432 274140864