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274101728 = 2541593541
BaseRepresentation
bin10000010101100…
…111010111100000
3201002202210212212
4100111213113200
51030132223403
643110541252
76535553255
oct2025472740
9632683785
10274101728
111307a575a
1277967828
1344a30a94
142859142c
15190e54d8
hex105675e0

274101728 has 48 divisors (see below), whose sum is σ = 562327920. Its totient is φ = 131404800.

The previous prime is 274101703. The next prime is 274101767. The reversal of 274101728 is 827101472.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 274101694 and 274101703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75638 + ... + 79178.

It is an arithmetic number, because the mean of its divisors is an integer number (11715165).

Almost surely, 2274101728 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 274101728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281163960).

274101728 is an abundant number, since it is smaller than the sum of its proper divisors (288226192).

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

274101728 is a wasteful number, since it uses less digits than its factorization.

274101728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3651 (or 3643 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 32.

The square root of 274101728 is about 16556.0178787050. The cubic root of 274101728 is about 649.5868996444.

The spelling of 274101728 in words is "two hundred seventy-four million, one hundred one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 41 59 82 118 164 236 328 472 656 944 1312 1888 2419 3541 4838 7082 9676 14164 19352 28328 38704 56656 77408 113312 145181 208919 290362 417838 580724 835676 1161448 1671352 2322896 3342704 4645792 6685408 8565679 17131358 34262716 68525432 137050864 274101728