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1022834628 = 22351052299
BaseRepresentation
bin111100111101110…
…011011111000100
32122021122101100000
4330331303133010
54043321202003
6245254521300
734226644104
oct7475633704
92567571300
101022834628
114853aa882
12246666230
13133ba38ba
1499bb3204
155ebe21a3
hex3cf737c4

1022834628 has 36 divisors (see below), whose sum is σ = 2681260400. Its totient is φ = 340944552.

The previous prime is 1022834627. The next prime is 1022834653. The reversal of 1022834628 is 8264382201.

1022834628 is a `hidden beast` number, since 1 + 0 + 2 + 28 + 3 + 4 + 628 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×10228346283 (a number of 28 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1022834592 and 1022834601.

It is not an unprimeable number, because it can be changed into a prime (1022834621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 525178 + ... + 527121.

Almost surely, 21022834628 is an apocalyptic number.

1022834628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1022834628 is an abundant number, since it is smaller than the sum of its proper divisors (1658425772).

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

1022834628 is a wasteful number, since it uses less digits than its factorization.

1022834628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052318 (or 1052304 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1022834628 is about 31981.7858788405. The cubic root of 1022834628 is about 1007.5543310458.

The spelling of 1022834628 in words is "one billion, twenty-two million, eight hundred thirty-four thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 1052299 2104598 3156897 4209196 6313794 9470691 12627588 18941382 28412073 37882764 56824146 85236219 113648292 170472438 255708657 340944876 511417314 1022834628