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1021434444 = 223253975519
BaseRepresentation
bin111100111000011…
…101101001001100
32122012000020122100
4330320131221030
54042441400234
6245204515100
734212022662
oct7470355114
92565006570
101021434444
114846338a8
122460aba90
131338034a4
149992ac32
155ea17399
hex3ce1da4c

1021434444 has 72 divisors (see below), whose sum is σ = 2658277440. Its totient is φ = 330550272.

The previous prime is 1021434431. The next prime is 1021434481. The reversal of 1021434444 is 4444341201.

1021434444 is a `hidden beast` number, since 1 + 0 + 214 + 3 + 4 + 444 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182317 + ... + 187835.

It is an arithmetic number, because the mean of its divisors is an integer number (36920520).

Almost surely, 21021434444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021434444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329138720).

1021434444 is an abundant number, since it is smaller than the sum of its proper divisors (1636842996).

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

1021434444 is a wasteful number, since it uses less digits than its factorization.

1021434444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5679 (or 5674 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 1021434444 is about 31959.8880473634. Note that the first 3 decimals coincide. The cubic root of 1021434444 is about 1007.0943656232.

Adding to 1021434444 its reverse (4444341201), we get a palindrome (5465775645).

The spelling of 1021434444 in words is "one billion, twenty-one million, four hundred thirty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 97 106 159 194 212 291 318 388 477 582 636 873 954 1164 1746 1908 3492 5141 5519 10282 11038 15423 16557 20564 22076 30846 33114 46269 49671 61692 66228 92538 99342 185076 198684 292507 535343 585014 877521 1070686 1170028 1606029 1755042 2141372 2632563 3212058 3510084 4818087 5265126 6424116 9636174 10530252 19272348 28373179 56746358 85119537 113492716 170239074 255358611 340478148 510717222 1021434444