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1274204416 = 28232972
BaseRepresentation
bin100101111110010…
…1101000100000000
310021210122021212011
41023330231010000
510102144020131
6330234342304
743401362452
oct11374550400
93253567764
101274204416
115a4289701
122b688a994
13173ca5914
14c13282d2
1576ce70b1
hex4bf2d100

1274204416 has 81 divisors (see below), whose sum is σ = 2686516581. Its totient is φ = 603119616.

The previous prime is 1274204413. The next prime is 1274204419. The reversal of 1274204416 is 6144024721.

The square root of 1274204416 is 35696.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (1274204413) and next prime (1274204419).

It can be written as a sum of positive squares in only one way, i.e., 572166400 + 702038016 = 23920^2 + 26496^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1274204413) 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 8 ways as a sum of consecutive naturals, for example, 13136080 + ... + 13136176.

Almost surely, 21274204416 is an apocalyptic number.

1274204416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1274204416 is the 35696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1274204416

1274204416 is an abundant number, since it is smaller than the sum of its proper divisors (1412312165).

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

1274204416 is an frugal number, since it uses more digits than its factorization.

1274204416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The cubic root of 1274204416 is about 1084.1258551331.

The spelling of 1274204416 in words is "one billion, two hundred seventy-four million, two hundred four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 23 32 46 64 92 97 128 184 194 256 368 388 529 736 776 1058 1472 1552 2116 2231 2944 3104 4232 4462 5888 6208 8464 8924 9409 12416 16928 17848 18818 24832 33856 35696 37636 51313 67712 71392 75272 102626 135424 142784 150544 205252 216407 285568 301088 410504 432814 571136 602176 821008 865628 1204352 1642016 1731256 2408704 3284032 3462512 4977361 6568064 6925024 9954722 13136128 13850048 19909444 27700096 39818888 55400192 79637776 159275552 318551104 637102208 1274204416