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1028956734 = 2321353163509
BaseRepresentation
bin111101010101001…
…010001000111110
32122201011102021200
4331111022020332
54101403103414
6250034040330
734332662601
oct7525121076
92581142250
101028956734
11488901473
122487190a6
13135238350
149a928338
1560501109
hex3d54a23e

1028956734 has 96 divisors (see below), whose sum is σ = 2466041760. Its totient is φ = 308116224.

The previous prime is 1028956711. The next prime is 1028956783. The reversal of 1028956734 is 4376598201.

1028956734 is a `hidden beast` number, since 1 + 0 + 2 + 89 + 567 + 3 + 4 = 666.

1028956734 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

1028956734 is strictly pandigital in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 1028956734.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2021272 + ... + 2021780.

It is an arithmetic number, because the mean of its divisors is an integer number (25687935).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1028956734 = 2057913468, but 3⋅1028956734 = 3086870202 is not.

Almost surely, 21028956734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1028956734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233020880).

1028956734 is an abundant number, since it is smaller than the sum of its proper divisors (1437085026).

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

1028956734 is a wasteful number, since it uses less digits than its factorization.

1028956734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1028956734 is about 32077.3554707990. The cubic root of 1028956734 is about 1009.5605492731.

The spelling of 1028956734 in words is "one billion, twenty-eight million, nine hundred fifty-six thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 53 78 106 117 159 163 234 318 326 477 489 509 689 954 978 1018 1378 1467 1527 2067 2119 2934 3054 4134 4238 4581 6201 6357 6617 8639 9162 12402 12714 13234 17278 19071 19851 25917 26977 38142 39702 51834 53954 59553 77751 80931 82967 112307 119106 155502 161862 165934 224614 242793 248901 336921 350701 485586 497802 673842 701402 746703 1010763 1052103 1078571 1493406 2021526 2104206 2157142 3156309 3235713 4397251 6312618 6471426 8794502 9707139 13191753 19414278 26383506 39575259 57164263 79150518 114328526 171492789 342985578 514478367 1028956734