Search a number
-
+
1341522624 = 263134113109
BaseRepresentation
bin100111111110110…
…0000001011000000
310110111022102002010
41033331200023000
510221412210444
6341041252520
745146516451
oct11775401300
93414272063
101341522624
11629288892
12315334140
13184c15890
14ca24d128
157cb932b9
hex4ff602c0

1341522624 has 112 divisors (see below), whose sum is σ = 3916009440. Its totient is φ = 402677760.

The previous prime is 1341522617. The next prime is 1341522641. The reversal of 1341522624 is 4262251431.

It is a junction number, because it is equal to n+sod(n) for n = 1341522591 and 1341522600.

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, 95782 + ... + 108890.

It is an arithmetic number, because the mean of its divisors is an integer number (34964370).

Almost surely, 21341522624 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 1341522624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958004720).

1341522624 is an abundant number, since it is smaller than the sum of its proper divisors (2574486816).

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

1341522624 is a wasteful number, since it uses less digits than its factorization.

1341522624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13178 (or 13168 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 1341522624 is about 36626.8019897998. The cubic root of 1341522624 is about 1102.8911887668.

The spelling of 1341522624 in words is "one billion, three hundred forty-one million, five hundred twenty-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 41 48 52 64 78 82 96 104 123 156 164 192 208 246 312 328 416 492 533 624 656 832 984 1066 1248 1312 1599 1968 2132 2496 2624 3198 3936 4264 6396 7872 8528 12792 13109 17056 25584 26218 34112 39327 51168 52436 78654 102336 104872 157308 170417 209744 314616 340834 419488 511251 537469 629232 681668 838976 1022502 1074938 1258464 1363336 1612407 2045004 2149876 2516928 2726672 3224814 4090008 4299752 5453344 6449628 6987097 8180016 8599504 10906688 12899256 13974194 16360032 17199008 20961291 25798512 27948388 32720064 34398016 41922582 51597024 55896776 83845164 103194048 111793552 167690328 223587104 335380656 447174208 670761312 1341522624