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381478356 = 223371792819
BaseRepresentation
bin10110101111001…
…110010111010100
3222120211002221000
4112233032113110
51240124301411
6101504223300
712311340540
oct2657162724
9876732830
10381478356
11186375376
12a790ab30
136105804c
1438942a20
1523755956
hex16bce5d4

381478356 has 96 divisors (see below), whose sum is σ = 1137024000. Its totient is φ = 108346464.

The previous prime is 381478277. The next prime is 381478373. The reversal of 381478356 is 653874183.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133915 + ... + 136733.

It is an arithmetic number, because the mean of its divisors is an integer number (11844000).

Almost surely, 2381478356 is an apocalyptic number.

381478356 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 381478356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568512000).

381478356 is an abundant number, since it is smaller than the sum of its proper divisors (755545644).

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

381478356 is a wasteful number, since it uses less digits than its factorization.

381478356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3018 (or 3010 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 381478356 is about 19531.4709123507. The cubic root of 381478356 is about 725.2537239580.

The spelling of 381478356 in words is "three hundred eighty-one million, four hundred seventy-eight thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 179 189 252 358 378 537 716 756 1074 1253 1611 2148 2506 2819 3222 3759 4833 5012 5638 6444 7518 8457 9666 11276 11277 15036 16914 19332 19733 22554 25371 33828 33831 39466 45108 50742 59199 67662 76113 78932 101484 118398 135324 152226 177597 236796 304452 355194 504601 532791 710388 1009202 1065582 1513803 2018404 2131164 3027606 3532207 4541409 6055212 7064414 9082818 10596621 13624227 14128828 18165636 21193242 27248454 31789863 42386484 54496908 63579726 95369589 127159452 190739178 381478356