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274172742 = 23323317121
BaseRepresentation
bin10000010101111…
…000101101000110
3201002220102022000
4100111320231012
51030142011432
643112250130
76536300304
oct2025705506
9632812260
10274172742
11130844048
12779a0946
1344a571bc
14285ad274
151910b57c
hex10578b46

274172742 has 64 divisors (see below), whose sum is σ = 656363520. Its totient is φ = 84585600.

The previous prime is 274172737. The next prime is 274172747. The reversal of 274172742 is 247271472.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (274172737) and next prime (274172747).

It is a junction number, because it is equal to n+sod(n) for n = 274172697 and 274172706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274172747) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 34942 + ... + 42062.

It is an arithmetic number, because the mean of its divisors is an integer number (10255680).

Almost surely, 2274172742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 274172742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328181760).

274172742 is an abundant number, since it is smaller than the sum of its proper divisors (382190778).

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

274172742 is a wasteful number, since it uses less digits than its factorization.

274172742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7186 (or 7180 counting only the distinct ones).

The product of its digits is 43904, while the sum is 36.

The square root of 274172742 is about 16558.1623980441. The cubic root of 274172742 is about 649.6429929074.

The spelling of 274172742 in words is "two hundred seventy-four million, one hundred seventy-two thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 23 27 31 46 54 62 69 93 138 186 207 279 414 558 621 713 837 1242 1426 1674 2139 4278 6417 7121 12834 14242 19251 21363 38502 42726 64089 128178 163783 192267 220751 327566 384534 441502 491349 662253 982698 1324506 1474047 1986759 2948094 3973518 4422141 5077273 5960277 8844282 10154546 11920554 15231819 30463638 45695457 91390914 137086371 274172742