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161434040 = 23517435521
BaseRepresentation
bin10011001111101…
…00100110111000
3102020202200212112
421213310212320
5312311342130
624004031452
74000111115
oct1147644670
9366680775
10161434040
1183141869
1246092588
13275a3401
141762390c
15e28c495
hex99f49b8

161434040 has 64 divisors (see below), whose sum is σ = 393608160. Its totient is φ = 59351040.

The previous prime is 161434037. The next prime is 161434099. The reversal of 161434040 is 40434161.

It is a junction number, because it is equal to n+sod(n) for n = 161433997 and 161434015.

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, 26480 + ... + 32000.

Almost surely, 2161434040 is an apocalyptic number.

161434040 is a gapful number since it is divisible by the number (10) 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 161434040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196804080).

161434040 is an abundant number, since it is smaller than the sum of its proper divisors (232174120).

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

161434040 is a wasteful number, since it uses less digits than its factorization.

161434040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5592 (or 5588 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 161434040 is about 12705.6696006153. The cubic root of 161434040 is about 544.5006114791.

The spelling of 161434040 in words is "one hundred sixty-one million, four hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 43 68 85 86 136 170 172 215 340 344 430 680 731 860 1462 1720 2924 3655 5521 5848 7310 11042 14620 22084 27605 29240 44168 55210 93857 110420 187714 220840 237403 375428 469285 474806 750856 938570 949612 1187015 1877140 1899224 2374030 3754280 4035851 4748060 8071702 9496120 16143404 20179255 32286808 40358510 80717020 161434040