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1341625032 = 233411375087
BaseRepresentation
bin100111111110111…
…1001001011001000
310110111111121120000
41033331321023020
510221424000112
6341043403000
745150424146
oct11775711310
93414447500
101341625032
11629348820
12315383460
13184c50387
14ca278596
157cbb37dc
hex4ff792c8

1341625032 has 160 divisors (see below), whose sum is σ = 4211032320. Its totient is φ = 395487360.

The previous prime is 1341625027. The next prime is 1341625049. The reversal of 1341625032 is 2305261431.

1341625032 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 625 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1341624987 and 1341625005.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 261193 + ... + 266279.

It is an arithmetic number, because the mean of its divisors is an integer number (26318952).

Almost surely, 21341625032 is an apocalyptic number.

1341625032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1341625032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105516160).

1341625032 is an abundant number, since it is smaller than the sum of its proper divisors (2869407288).

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

1341625032 is a wasteful number, since it uses less digits than its factorization.

1341625032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5153 (or 5140 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1341625032 is about 36628.1999557718. The cubic root of 1341625032 is about 1102.9192519056.

Adding to 1341625032 its reverse (2305261431), we get a palindrome (3646886463).

The spelling of 1341625032 in words is "one billion, three hundred forty-one million, six hundred twenty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 37 44 54 66 72 74 81 88 99 108 111 132 148 162 198 216 222 264 296 297 324 333 396 407 444 594 648 666 792 814 888 891 999 1188 1221 1332 1628 1782 1998 2376 2442 2664 2997 3256 3564 3663 3996 4884 5087 5994 7128 7326 7992 9768 10174 10989 11988 14652 15261 20348 21978 23976 29304 30522 32967 40696 43956 45783 55957 61044 65934 87912 91566 111914 122088 131868 137349 167871 183132 188219 223828 263736 274698 335742 366264 376438 412047 447656 503613 549396 564657 671484 752876 824094 1007226 1098792 1129314 1342968 1505752 1510839 1648188 1693971 2014452 2070409 2258628 3021678 3296376 3387942 4028904 4140818 4517256 4532517 5081913 6043356 6211227 6775884 8281636 9065034 10163826 12086712 12422454 13551768 15245739 16563272 18130068 18633681 20327652 24844908 30491478 36260136 37267362 40655304 49689816 55901043 60982956 74534724 111802086 121965912 149069448 167703129 223604172 335406258 447208344 670812516 1341625032