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244350040 = 235111633407
BaseRepresentation
bin11101001000001…
…11110001011000
3122000210021020111
432210013301120
51000023200130
640125134104
76024640534
oct1644076130
9560707214
10244350040
11115a24890
12699ba334
133b814b2c
1424648bc4
15166ba02a
hexe907c58

244350040 has 64 divisors (see below), whose sum is σ = 603624960. Its totient is φ = 88283520.

The previous prime is 244350019. The next prime is 244350059. The reversal of 244350040 is 40053442.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 244349993 and 244350020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70017 + ... + 73423.

It is an arithmetic number, because the mean of its divisors is an integer number (9431640).

Almost surely, 2244350040 is an apocalyptic number.

244350040 is a gapful number since it is divisible by the number (20) 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 244350040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301812480).

244350040 is an abundant number, since it is smaller than the sum of its proper divisors (359274920).

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

244350040 is a wasteful number, since it uses less digits than its factorization.

244350040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3592 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 244350040 is about 15631.6998435871. The cubic root of 244350040 is about 625.1786497300.

The spelling of 244350040 in words is "two hundred forty-four million, three hundred fifty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 163 220 326 440 652 815 1304 1630 1793 3260 3407 3586 6520 6814 7172 8965 13628 14344 17035 17930 27256 34070 35860 37477 68140 71720 74954 136280 149908 187385 299816 374770 555341 749540 1110682 1499080 2221364 2776705 4442728 5553410 6108751 11106820 12217502 22213640 24435004 30543755 48870008 61087510 122175020 244350040