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1341958128 = 243715725439
BaseRepresentation
bin100111111111100…
…1010011111110000
310110112010112110220
41033333022133300
510222020130003
6341054453040
745153312240
oct11777123760
93415115426
101341958128
11629556005
12315504180
13185038b84
14ca323b20
157cc2c353
hex4ffca7f0

1341958128 has 80 divisors (see below), whose sum is σ = 3987363840. Its totient is φ = 380959488.

The previous prime is 1341958117. The next prime is 1341958183. The reversal of 1341958128 is 8218591431.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 1341958128.

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, 40033 + ... + 65471.

It is an arithmetic number, because the mean of its divisors is an integer number (49842048).

Almost surely, 21341958128 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 1341958128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1993681920).

1341958128 is an abundant number, since it is smaller than the sum of its proper divisors (2645405712).

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

1341958128 is a wasteful number, since it uses less digits than its factorization.

1341958128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25614 (or 25608 counting only the distinct ones).

The product of its digits is 69120, while the sum is 42.

The square root of 1341958128 is about 36632.7466619690. The cubic root of 1341958128 is about 1103.0105212202.

The spelling of 1341958128 in words is "one billion, three hundred forty-one million, nine hundred fifty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 157 168 314 336 471 628 942 1099 1256 1884 2198 2512 3297 3768 4396 6594 7536 8792 13188 17584 25439 26376 50878 52752 76317 101756 152634 178073 203512 305268 356146 407024 534219 610536 712292 1068438 1221072 1424584 2136876 2849168 3993923 4273752 7987846 8547504 11981769 15975692 23963538 27957461 31951384 47927076 55914922 63902768 83872383 95854152 111829844 167744766 191708304 223659688 335489532 447319376 670979064 1341958128