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644646440 = 235191734903
BaseRepresentation
bin100110011011001…
…000011000101000
31122221000102200002
4212123020120220
52310012141230
6143545002132
721655255454
oct4633103050
91587012602
10644646440
11300982459
1215ba83348
13a372b2c9
1461889664
153b8db545
hex266c8628

644646440 has 64 divisors (see below), whose sum is σ = 1535932800. Its totient is φ = 242825472.

The previous prime is 644646439. The next prime is 644646451. The reversal of 644646440 is 44646446.

It is a happy number.

644646440 is digitally balanced in base 6, 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 (38).

It is a junction number, because it is equal to n+sod(n) for n = 644646394 and 644646403.

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, 129029 + ... + 133931.

It is an arithmetic number, because the mean of its divisors is an integer number (23998950).

Almost surely, 2644646440 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 644646440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767966400).

644646440 is an abundant number, since it is smaller than the sum of its proper divisors (891286360).

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

644646440 is a wasteful number, since it uses less digits than its factorization.

644646440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5106 (or 5102 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 38.

The square root of 644646440 is about 25389.8885385501. Note that the first 3 decimals coincide. The cubic root of 644646440 is about 863.8543600252.

The spelling of 644646440 in words is "six hundred forty-four million, six hundred forty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 173 190 346 380 692 760 865 1384 1730 3287 3460 4903 6574 6920 9806 13148 16435 19612 24515 26296 32870 39224 49030 65740 93157 98060 131480 186314 196120 372628 465785 745256 848219 931570 1696438 1863140 3392876 3726280 4241095 6785752 8482190 16116161 16964380 32232322 33928760 64464644 80580805 128929288 161161610 322323220 644646440