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394944480 = 25325739181
BaseRepresentation
bin10111100010100…
…101111111100000
31000112011020222100
4113202211333200
51302101210410
6103105010400
712533654430
oct2742457740
91015136870
10394944480
11192a326a7
12b0323a00
1363a91478
143a64a2c0
1524a158c0
hex178a5fe0

394944480 has 144 divisors (see below), whose sum is σ = 1540322784. Its totient is φ = 90270720.

The previous prime is 394944457. The next prime is 394944503. The reversal of 394944480 is 84449493.

It is an interprime number because it is at equal distance from previous prime (394944457) and next prime (394944503).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3949444802 = 311962284564940800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9511 + ... + 29670.

It is an arithmetic number, because the mean of its divisors is an integer number (10696686).

Almost surely, 2394944480 is an apocalyptic number.

394944480 is a gapful number since it is divisible by the number (30) 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 394944480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770161392).

394944480 is an abundant number, since it is smaller than the sum of its proper divisors (1145378304).

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

394944480 is a wasteful number, since it uses less digits than its factorization.

394944480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39209 (or 39198 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 394944480 is about 19873.2101080827. The cubic root of 394944480 is about 733.6890138699.

The spelling of 394944480 in words is "three hundred ninety-four million, nine hundred forty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 39181 78362 117543 156724 195905 235086 274267 313448 352629 391810 470172 548534 587715 626896 705258 783620 822801 940344 1097068 1175430 1253792 1371335 1410516 1567240 1645602 1763145 1880688 2194136 2350860 2468403 2742670 2821032 3134480 3291204 3526290 3761376 4114005 4388272 4701720 4936806 5485340 5642064 6268960 6582408 7052580 8228010 8776544 9403440 9873612 10970680 11284128 12342015 13164816 14105160 16456020 18806880 19747224 21941360 24684030 26329632 28210320 32912040 39494448 43882720 49368060 56420640 65824080 78988896 98736120 131648160 197472240 394944480