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1034053440 = 26357153877
BaseRepresentation
bin111101101000100…
…110011101000000
32200001202100122120
4331220212131000
54104204202230
6250335204240
734424211030
oct7550463500
92601670576
101034053440
11490772722
1224a376680
13136301154
149b4938c0
1560bab310
hex3da26740

1034053440 has 112 divisors (see below), whose sum is σ = 3752161152. Its totient is φ = 236353536.

The previous prime is 1034053403. The next prime is 1034053451. The reversal of 1034053440 is 443504301.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1034053440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70219 + ... + 83658.

Almost surely, 21034053440 is an apocalyptic number.

1034053440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1034053440 is an abundant number, since it is smaller than the sum of its proper divisors (2718107712).

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

1034053440 is a wasteful number, since it uses less digits than its factorization.

1034053440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153904 (or 153894 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 1034053440 is about 32156.7013233634. The cubic root of 1034053440 is about 1011.2246817735.

Adding to 1034053440 its reverse (443504301), we get a palindrome (1477557741).

The spelling of 1034053440 in words is "one billion, thirty-four million, fifty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 153877 307754 461631 615508 769385 923262 1077139 1231016 1538770 1846524 2154278 2308155 2462032 3077540 3231417 3693048 4308556 4616310 4924064 5385695 6155080 6462834 7386096 8617112 9232620 9848128 10771390 12310160 12925668 14772192 16157085 17234224 18465240 21542780 24620320 25851336 29544384 32314170 34468448 36930480 43085560 49240640 51702672 64628340 68936896 73860960 86171120 103405344 129256680 147721920 172342240 206810688 258513360 344684480 517026720 1034053440