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394894368 = 253211314021
BaseRepresentation
bin10111100010011…
…001110000100000
31000112001201020100
4113202121300200
51302043104433
6103103542400
712533355351
oct2742316040
91015051210
10394894368
111929a8a90
12b02baa00
1363a7470b
143a635d28
1524a05b13
hex17899c20

394894368 has 144 divisors (see below), whose sum is σ = 1264902912. Its totient is φ = 115776000.

The previous prime is 394894351. The next prime is 394894373. The reversal of 394894368 is 863498493.

It is a happy number.

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

It is a super-3 number, since 3×3948943683 (a number of 27 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 96198 + ... + 100218.

It is an arithmetic number, because the mean of its divisors is an integer number (8784048).

Almost surely, 2394894368 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 394894368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632451456).

394894368 is an abundant number, since it is smaller than the sum of its proper divisors (870008544).

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

394894368 is a wasteful number, since it uses less digits than its factorization.

394894368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4079 (or 4068 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 394894368 is about 19871.9492752976. The cubic root of 394894368 is about 733.6579815089.

The spelling of 394894368 in words is "three hundred ninety-four million, eight hundred ninety-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 31 32 33 36 44 48 62 66 72 88 93 96 99 124 132 144 176 186 198 248 264 279 288 341 352 372 396 496 528 558 682 744 792 992 1023 1056 1116 1364 1488 1584 2046 2232 2728 2976 3069 3168 4021 4092 4464 5456 6138 8042 8184 8928 10912 12063 12276 16084 16368 24126 24552 32168 32736 36189 44231 48252 49104 64336 72378 88462 96504 98208 124651 128672 132693 144756 176924 193008 249302 265386 289512 353848 373953 386016 398079 498604 530772 579024 707696 747906 796158 997208 1061544 1121859 1158048 1371161 1415392 1495812 1592316 1994416 2123088 2243718 2742322 2991624 3184632 3988832 4113483 4246176 4487436 5484644 5983248 6369264 8226966 8974872 10969288 11966496 12340449 12738528 16453932 17949744 21938576 24680898 32907864 35899488 43877152 49361796 65815728 98723592 131631456 197447184 394894368