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274270464 = 2832139157
BaseRepresentation
bin10000010110010…
…000100100000000
3201010002101100100
4100112100210000
51030203123324
643114322400
76540155226
oct2026204400
9633071310
10274270464
11130900506
1277a29400
1344a8c820
14285d6b16
151912a4c9
hex10590900

274270464 has 108 divisors (see below), whose sum is σ = 851712316. Its totient is φ = 84381696.

The previous prime is 274270441. The next prime is 274270481. The reversal of 274270464 is 464072472.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 38340864 + 235929600 = 6192^2 + 15360^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25374 + ... + 34530.

Almost surely, 2274270464 is an apocalyptic number.

274270464 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 274270464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425856158).

274270464 is an abundant number, since it is smaller than the sum of its proper divisors (577441852).

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

274270464 is a wasteful number, since it uses less digits than its factorization.

274270464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9192 (or 9175 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 274270464 is about 16561.1130060754. The cubic root of 274270464 is about 649.7201667250.

The spelling of 274270464 in words is "two hundred seventy-four million, two hundred seventy thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 7488 9157 9984 14976 18314 27471 29952 36628 54942 73256 82413 109884 119041 146512 164826 219768 238082 293024 329652 357123 439536 476164 586048 659304 714246 879072 952328 1071369 1172096 1318608 1428492 1758144 1904656 2142738 2344192 2637216 2856984 3516288 3809312 4285476 5274432 5713968 7032576 7618624 8570952 10548864 11427936 15237248 17141904 21097728 22855872 30474496 34283808 45711744 68567616 91423488 137135232 274270464