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995346144 = 253413109271
BaseRepresentation
bin111011010100111…
…100011011100000
32120100220211020000
4323110330123200
54014302034034
6242433420000
733444205542
oct7324743340
92510824200
10995346144
11470935321
1223940a600
1312b29ab20
1496299692
155c5b2599
hex3b53c6e0

995346144 has 240 divisors, whose sum is σ = 3193122240. Its totient is φ = 302330880.

The previous prime is 995346127. The next prime is 995346161. The reversal of 995346144 is 441643599.

It is an interprime number because it is at equal distance from previous prime (995346127) and next prime (995346161).

It is a self number, because there is not a number n which added to its sum of digits gives 995346144.

It is a congruent number.

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, 3672729 + ... + 3672999.

It is an arithmetic number, because the mean of its divisors is an integer number (13304676).

Almost surely, 2995346144 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 995346144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596561120).

995346144 is an abundant number, since it is smaller than the sum of its proper divisors (2197776096).

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

995346144 is a wasteful number, since it uses less digits than its factorization.

995346144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 398 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 995346144 is about 31549.1068653298. The cubic root of 995346144 is about 998.4463019392.

The spelling of 995346144 in words is "nine hundred ninety-five million, three hundred forty-six thousand, one hundred forty-four".