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381210336 = 253213293511
BaseRepresentation
bin10110101110001…
…100111011100000
3222120022111021100
4112232030323200
51240042212321
6101454354400
712306143253
oct2656147340
9876274240
10381210336
11186201a71
12a77bba00
1360c93060
14388b309a
1523701326
hex16b8cee0

381210336 has 144 divisors (see below), whose sum is σ = 1208057760. Its totient is φ = 113218560.

The previous prime is 381210311. The next prime is 381210367. The reversal of 381210336 is 633012183.

It is a happy number.

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

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, 106821 + ... + 110331.

It is an arithmetic number, because the mean of its divisors is an integer number (8389290).

Almost surely, 2381210336 is an apocalyptic number.

381210336 is a gapful number since it is divisible by the number (36) 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 381210336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604028880).

381210336 is an abundant number, since it is smaller than the sum of its proper divisors (826847424).

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

381210336 is a wasteful number, since it uses less digits than its factorization.

381210336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3569 (or 3558 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 381210336 is about 19524.6084723868. The cubic root of 381210336 is about 725.0838339838.

The spelling of 381210336 in words is "three hundred eighty-one million, two hundred ten thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 29 32 36 39 48 52 58 72 78 87 96 104 116 117 144 156 174 208 232 234 261 288 312 348 377 416 464 468 522 624 696 754 928 936 1044 1131 1248 1392 1508 1872 2088 2262 2784 3016 3393 3511 3744 4176 4524 6032 6786 7022 8352 9048 10533 12064 13572 14044 18096 21066 27144 28088 31599 36192 42132 45643 54288 56176 63198 84264 91286 101819 108576 112352 126396 136929 168528 182572 203638 252792 273858 305457 337056 365144 407276 410787 505584 547716 610914 730288 814552 821574 916371 1011168 1095432 1221828 1323647 1460576 1629104 1643148 1832742 2190864 2443656 2647294 3258208 3286296 3665484 3970941 4381728 4887312 5294588 6572592 7330968 7941882 9774624 10589176 11912823 13145184 14661936 15883764 21178352 23825646 29323872 31767528 42356704 47651292 63535056 95302584 127070112 190605168 381210336