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274070472 = 233131098059
BaseRepresentation
bin10000010101011…
…111101111001000
3201002201020000020
4100111133233020
51030130223342
643110140440
76535363164
oct2025375710
9632636006
10274070472
11130784225
1277951720
1344a1c7a0
1428583ca4
15190db0ec
hex1055fbc8

274070472 has 64 divisors (see below), whose sum is σ = 744744000. Its totient is φ = 83545344.

The previous prime is 274070449. The next prime is 274070479.

274070472 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2740704722 = 150229247244605568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (274070479) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29979 + ... + 38037.

It is an arithmetic number, because the mean of its divisors is an integer number (11636625).

Almost surely, 2274070472 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 274070472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372372000).

274070472 is an abundant number, since it is smaller than the sum of its proper divisors (470673528).

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

274070472 is a wasteful number, since it uses less digits than its factorization.

274070472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8190 (or 8186 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 33.

The square root of 274070472 is about 16555.0739049996. The cubic root of 274070472 is about 649.5622077656.

The spelling of 274070472 in words is "two hundred seventy-four million, seventy thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 109 156 218 312 327 436 654 872 1308 1417 2616 2834 4251 5668 8059 8502 11336 16118 17004 24177 32236 34008 48354 64472 96708 104767 193416 209534 314301 419068 628602 838136 878431 1257204 1756862 2514408 2635293 3513724 5270586 7027448 10541172 11419603 21082344 22839206 34258809 45678412 68517618 91356824 137035236 274070472