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381067740 = 2235589881
BaseRepresentation
bin10110101101101…
…010000111011100
3222120001020200000
4112231222013130
51240023131430
6101451334300
712305010444
oct2655520734
9876036600
10381067740
11186114919
12a7751390
1360c43191
1438877124
15236c3e60
hex16b6a1dc

381067740 has 144 divisors (see below), whose sum is σ = 1213561440. Its totient is φ = 100362240.

The previous prime is 381067727. The next prime is 381067747. The reversal of 381067740 is 47760183.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 381067695 and 381067704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381067747) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 432100 + ... + 432980.

It is an arithmetic number, because the mean of its divisors is an integer number (8427510).

Almost surely, 2381067740 is an apocalyptic number.

381067740 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 381067740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606780720).

381067740 is an abundant number, since it is smaller than the sum of its proper divisors (832493700).

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

381067740 is a wasteful number, since it uses less digits than its factorization.

381067740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 381067740 is about 19520.9564314866. The cubic root of 381067740 is about 724.9934141296.

The spelling of 381067740 in words is "three hundred eighty-one million, sixty-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 89 90 108 135 162 178 180 243 267 270 324 356 405 445 486 534 540 801 810 881 890 972 1068 1215 1335 1602 1620 1762 1780 2403 2430 2643 2670 3204 3524 4005 4405 4806 4860 5286 5340 7209 7929 8010 8810 9612 10572 12015 13215 14418 15858 16020 17620 21627 23787 24030 26430 28836 31716 36045 39645 43254 47574 48060 52860 71361 72090 78409 79290 86508 95148 108135 118935 142722 144180 156818 158580 214083 216270 235227 237870 285444 313636 356805 392045 428166 432540 470454 475740 705681 713610 784090 856332 940908 1070415 1176135 1411362 1427220 1568180 2117043 2140830 2352270 2822724 3528405 4234086 4281660 4704540 6351129 7056810 8468172 10585215 12702258 14113620 19053387 21170430 25404516 31755645 38106774 42340860 63511290 76213548 95266935 127022580 190533870 381067740