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840144690 = 2335721123251
BaseRepresentation
bin110010000100111…
…001011100110010
32011112212202212000
4302010321130302
53210034112230
6215211114430
726551053300
oct6204713462
92145782760
10840144690
113a1270160
121b5442a16
1310509a548
147d819270
154db56b60
hex32139732

840144690 has 384 divisors, whose sum is σ = 2978519040. Its totient is φ = 166320000.

The previous prime is 840144689. The next prime is 840144727. The reversal of 840144690 is 96441048.

It is a happy number.

It is a super-2 number, since 2×8401446902 = 1411686200270392200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3347065 + ... + 3347315.

It is an arithmetic number, because the mean of its divisors is an integer number (7756560).

Almost surely, 2840144690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 840144690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489259520).

840144690 is an abundant number, since it is smaller than the sum of its proper divisors (2138374350).

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

840144690 is a wasteful number, since it uses less digits than its factorization.

840144690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 840144690 is about 28985.2495245427. The cubic root of 840144690 is about 943.5929678056.

It can be divided in two parts, 840 and 144690, that added together give a triangular number (145530 = T539).

The spelling of 840144690 in words is "eight hundred forty million, one hundred forty-four thousand, six hundred ninety".