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1134371424 = 253293311231
BaseRepresentation
bin100001110011101…
…0010001001100000
32221001112001001110
41003213102021200
54310344341144
6304321303320
740052666214
oct10347221140
92831461043
101134371424
1153236104a
12277a94b40
131510265c4
14aa928944
15698c50b9
hex439d2260

1134371424 has 96 divisors (see below), whose sum is σ = 3092221440. Its totient is φ = 363686400.

The previous prime is 1134371411. The next prime is 1134371479. The reversal of 1134371424 is 4241734311.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1134371391 and 1134371400.

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, 920889 + ... + 922119.

It is an arithmetic number, because the mean of its divisors is an integer number (32210640).

Almost surely, 21134371424 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 1134371424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546110720).

1134371424 is an abundant number, since it is smaller than the sum of its proper divisors (1957850016).

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

1134371424 is a wasteful number, since it uses less digits than its factorization.

1134371424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1596 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 1134371424 is about 33680.4308761037. The cubic root of 1134371424 is about 1042.9218328653.

The spelling of 1134371424 in words is "one billion, one hundred thirty-four million, three hundred seventy-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 331 348 464 662 696 928 993 1231 1324 1392 1986 2462 2648 2784 3693 3972 4924 5296 7386 7944 9599 9848 10592 14772 15888 19198 19696 28797 29544 31776 35699 38396 39392 57594 59088 71398 76792 107097 115188 118176 142796 153584 214194 230376 285592 307168 407461 428388 460752 571184 814922 856776 921504 1142368 1222383 1629844 1713552 2444766 3259688 3427104 4889532 6519376 9779064 11816369 13038752 19558128 23632738 35449107 39116256 47265476 70898214 94530952 141796428 189061904 283592856 378123808 567185712 1134371424