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382140416 = 2167317
BaseRepresentation
bin10110110001110…
…000000000000000
3222122001202002202
4112301300000000
51240311443131
6101530332332
712320066000
oct2661600000
9878052082
10382140416
11186787829
12a7b8a0a8
136122a4b8
1438a76000
1523836bcb
hex16c70000

382140416 has 136 divisors (see below), whose sum is σ = 943711200. Its totient is φ = 154140672.

The previous prime is 382140401. The next prime is 382140427. The reversal of 382140416 is 614041283.

It is a tau number, because it is divible by the number of its divisors (136).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22478840 + ... + 22478856.

Almost surely, 2382140416 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 382140416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471855600).

382140416 is an abundant number, since it is smaller than the sum of its proper divisors (561570784).

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

382140416 is an frugal number, since it uses more digits than its factorization.

382140416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 382140416 is about 19548.4121094272. The cubic root of 382140416 is about 725.6730434862.

Adding to 382140416 its reverse (614041283), we get a palindrome (996181699).

The spelling of 382140416 in words is "three hundred eighty-two million, one hundred forty thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 128 136 196 224 238 256 272 343 392 448 476 512 544 686 784 833 896 952 1024 1088 1372 1568 1666 1792 1904 2048 2176 2744 3136 3332 3584 3808 4096 4352 5488 5831 6272 6664 7168 7616 8192 8704 10976 11662 12544 13328 14336 15232 16384 17408 21952 23324 25088 26656 28672 30464 32768 34816 43904 46648 50176 53312 57344 60928 65536 69632 87808 93296 100352 106624 114688 121856 139264 175616 186592 200704 213248 229376 243712 278528 351232 373184 401408 426496 458752 487424 557056 702464 746368 802816 852992 974848 1114112 1404928 1492736 1605632 1705984 1949696 2809856 2985472 3211264 3411968 3899392 5619712 5970944 6823936 7798784 11239424 11941888 13647872 22478848 23883776 27295744 47767552 54591488 95535104 191070208 382140416