Search a number
-
+
274793442 = 23711797529
BaseRepresentation
bin10000011000010…
…000001111100010
3201011001221201220
4100120100033202
51030321342232
643133435510
76544464030
oct2030201742
9634057656
10274793442
11131128420
127803bb96
1344c13891
14286d1550
15191d042c
hex106103e2

274793442 has 64 divisors (see below), whose sum is σ = 693964800. Its totient is φ = 70462080.

The previous prime is 274793411. The next prime is 274793459. The reversal of 274793442 is 244397472.

274793442 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2747934422 = 151022871532414728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 274793394 and 274793403.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32734 + ... + 40262.

It is an arithmetic number, because the mean of its divisors is an integer number (10843200).

Almost surely, 2274793442 is an apocalyptic number.

274793442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 274793442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346982400).

274793442 is an abundant number, since it is smaller than the sum of its proper divisors (419171358).

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

274793442 is a wasteful number, since it uses less digits than its factorization.

274793442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7631.

The product of its digits is 338688, while the sum is 42.

The square root of 274793442 is about 16576.8948238203. The cubic root of 274793442 is about 650.1328659358.

The spelling of 274793442 in words is "two hundred seventy-four million, seven hundred ninety-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 79 154 158 231 237 462 474 553 869 1106 1659 1738 2607 3318 5214 6083 7529 12166 15058 18249 22587 36498 45174 52703 82819 105406 158109 165638 248457 316218 496914 579733 594791 1159466 1189582 1739199 1784373 3478398 3568746 4163537 6542701 8327074 12490611 13085402 19628103 24981222 39256206 45798907 91597814 137396721 274793442