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1354390128 = 2432713103357
BaseRepresentation
bin101000010111010…
…0101101001110000
310111101112010222100
41100232211221300
510233210441003
6342221140400
745364061160
oct12056455160
93441463870
101354390128
11635577393
123196ba700
1318779c6a0
14cbc3c5a0
157dd85ba3
hex50ba5a70

1354390128 has 120 divisors (see below), whose sum is σ = 4665166688. Its totient is φ = 357198336.

The previous prime is 1354390111. The next prime is 1354390133. The reversal of 1354390128 is 8210934531.

1354390128 is a `hidden beast` number, since 1 + 3 + 543 + 90 + 1 + 28 = 666.

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 = 1354390092 and 1354390101.

It is a congruent number.

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, 38575 + ... + 64782.

Almost surely, 21354390128 is an apocalyptic number.

1354390128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1354390128 is an abundant number, since it is smaller than the sum of its proper divisors (3310776560).

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

1354390128 is a wasteful number, since it uses less digits than its factorization.

1354390128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103391 (or 103382 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1354390128 is about 36802.0397260804. The cubic root of 1354390128 is about 1106.4061806880.

The spelling of 1354390128 in words is "one billion, three hundred fifty-four million, three hundred ninety thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 13104 103357 206714 310071 413428 620142 723499 826856 930213 1240284 1343641 1446998 1653712 1860426 2170497 2480568 2687282 2893996 3720852 4030923 4340994 4961136 5374564 5787992 6511491 7441704 8061846 8681988 9405487 10749128 11575984 12092769 13022982 14883408 16123692 17363976 18810974 21498256 24185538 26045964 28216461 32247384 34727952 37621948 48371076 52091928 56432922 64494768 75243896 84649383 96742152 104183856 112865844 150487792 169298766 193484304 225731688 338597532 451463376 677195064 1354390128