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994294440 = 23345397773
BaseRepresentation
bin111011010000111…
…011101010101000
32120021221101120000
4323100323222220
54014014410230
6242355103000
733432235416
oct7320735250
92507841500
10994294440
11470287147
12238ba1a60
1312acc0209
14960a42b6
155c455b60
hex3b43baa8

994294440 has 160 divisors (see below), whose sum is σ = 3354686280. Its totient is φ = 264135168.

The previous prime is 994294429. The next prime is 994294459. The reversal of 994294440 is 44492499.

It can be written as a sum of positive squares in 4 ways, for example, as 637764516 + 356529924 = 25254^2 + 18882^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1285894 + ... + 1286666.

Almost surely, 2994294440 is an apocalyptic number.

994294440 is a gapful number since it is divisible by the number (90) 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 994294440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677343140).

994294440 is an abundant number, since it is smaller than the sum of its proper divisors (2360391840).

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

994294440 is a wasteful number, since it uses less digits than its factorization.

994294440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 994294440 is about 31532.4347299729. The cubic root of 994294440 is about 998.0945181116.

The spelling of 994294440 in words is "nine hundred ninety-four million, two hundred ninety-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 397 405 540 648 773 794 810 1080 1191 1546 1588 1620 1985 2319 2382 3092 3176 3240 3573 3865 3970 4638 4764 5955 6184 6957 7146 7730 7940 9276 9528 10719 11595 11910 13914 14292 15460 15880 17865 18552 20871 21438 23190 23820 27828 28584 30920 32157 34785 35730 41742 42876 46380 47640 53595 55656 62613 64314 69570 71460 83484 85752 92760 104355 107190 125226 128628 139140 142920 160785 166968 208710 214380 250452 257256 278280 306881 313065 321570 417420 428760 500904 613762 626130 643140 834840 920643 1227524 1252260 1286280 1534405 1841286 2455048 2504520 2761929 3068810 3682572 4603215 5523858 6137620 7365144 8285787 9206430 11047716 12275240 13809645 16571574 18412860 22095432 24857361 27619290 33143148 36825720 41428935 49714722 55238580 66286296 82857870 99429444 110477160 124286805 165715740 198858888 248573610 331431480 497147220 994294440