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161400408 = 2331333061
BaseRepresentation
bin10011001111011…
…00011001011000
3102020200222201220
421213230121120
5312304303113
624003212040
73666611061
oct1147543130
9366628656
10161400408
1183119574
1246077020
1327591000
1417615568
15e282523
hex99ec658

161400408 has 64 divisors (see below), whose sum is σ = 437253600. Its totient is φ = 49645440.

The previous prime is 161400403. The next prime is 161400409. The reversal of 161400408 is 804004161.

161400408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161400403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51198 + ... + 54258.

Almost surely, 2161400408 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 161400408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218626800).

161400408 is an abundant number, since it is smaller than the sum of its proper divisors (275853192).

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

161400408 is a wasteful number, since it uses less digits than its factorization.

161400408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3109 (or 3079 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 161400408 is about 12704.3460280331. The cubic root of 161400408 is about 544.4627964135.

Adding to 161400408 its reverse (804004161), we get a palindrome (965404569).

The spelling of 161400408 in words is "one hundred sixty-one million, four hundred thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 2028 2197 3061 4056 4394 6122 6591 8788 9183 12244 13182 17576 18366 24488 26364 36732 39793 52728 73464 79586 119379 159172 238758 318344 477516 517309 955032 1034618 1551927 2069236 3103854 4138472 6207708 6725017 12415416 13450034 20175051 26900068 40350102 53800136 80700204 161400408