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1034813472 = 253711139991
BaseRepresentation
bin111101101011100…
…000000000100000
32200010011222012220
4331223200000200
54104403012342
6250403351040
734433524620
oct7553400040
92603158186
101034813472
11491141750
1224a682480
13136509084
149b610880
1560cab5ec
hex3dae0020

1034813472 has 96 divisors (see below), whose sum is σ = 3386686464. Its totient is φ = 268780800.

The previous prime is 1034813441. The next prime is 1034813491. The reversal of 1034813472 is 2743184301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62604 + ... + 77387.

It is an arithmetic number, because the mean of its divisors is an integer number (35277984).

Almost surely, 21034813472 is an apocalyptic number.

1034813472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1034813472 is an abundant number, since it is smaller than the sum of its proper divisors (2351872992).

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

1034813472 is a wasteful number, since it uses less digits than its factorization.

1034813472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140022 (or 140014 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 1034813472 is about 32168.5167827179. The cubic root of 1034813472 is about 1011.4723720333.

Adding to 1034813472 its reverse (2743184301), we get a palindrome (3777997773).

It can be divided in two parts, 103481 and 3472, that added together give a triangular number (106953 = T462).

The spelling of 1034813472 in words is "one billion, thirty-four million, eight hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 139991 279982 419973 559964 839946 979937 1119928 1539901 1679892 1959874 2239856 2939811 3079802 3359784 3919748 4479712 4619703 5879622 6159604 6719568 7839496 9239406 10779307 11759244 12319208 13439136 15678992 18478812 21558614 23518488 24638416 31357984 32337921 36957624 43117228 47036976 49276832 64675842 73915248 86234456 94073952 129351684 147830496 172468912 258703368 344937824 517406736 1034813472