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161414352 = 243211181563
BaseRepresentation
bin10011001111011…
…11110011010000
3102020201200212100
421213233303100
5312310224402
624003400400
73666666531
oct1147576320
9366650770
10161414352
1183128aa0
1246083100
1327597468
141761a688
15e28671c
hex99efcd0

161414352 has 120 divisors (see below), whose sum is σ = 496405728. Its totient is φ = 48556800.

The previous prime is 161414293. The next prime is 161414381. The reversal of 161414352 is 253414161.

It is a happy number.

161414352 is a `hidden beast` number, since 1 + 614 + 1 + 43 + 5 + 2 = 666.

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, 286423 + ... + 286985.

Almost surely, 2161414352 is an apocalyptic number.

161414352 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 161414352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248202864).

161414352 is an abundant number, since it is smaller than the sum of its proper divisors (334991376).

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

161414352 is a wasteful number, since it uses less digits than its factorization.

161414352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 760 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 161414352 is about 12704.8948047593. The cubic root of 161414352 is about 544.4784753714.

The spelling of 161414352 in words is "one hundred sixty-one million, four hundred fourteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 181 198 264 362 396 528 543 563 724 792 1086 1126 1448 1584 1629 1689 1991 2172 2252 2896 3258 3378 3982 4344 4504 5067 5973 6193 6516 6756 7964 8688 9008 10134 11946 12386 13032 13512 15928 17919 18579 20268 23892 24772 26064 27024 31856 35838 37158 40536 47784 49544 55737 71676 74316 81072 95568 99088 101903 111474 143352 148632 203806 222948 286704 297264 305709 407612 445896 611418 815224 891792 917127 1120933 1222836 1630448 1834254 2241866 2445672 3362799 3668508 4483732 4891344 6725598 7337016 8967464 10088397 13451196 14674032 17934928 20176794 26902392 40353588 53804784 80707176 161414352