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387047340 = 2232529531399
BaseRepresentation
bin10111000100011…
…101111110101100
3222222022001010200
4113010131332230
51243041003330
6102223433500
712406563621
oct2704357654
9888261120
10387047340
11189529439
12a9755890
1362257ac4
1439592348
1523ea5a60
hex1711dfac

387047340 has 144 divisors (see below), whose sum is σ = 1238328000. Its totient is φ = 97703424.

The previous prime is 387047333. The next prime is 387047351. The reversal of 387047340 is 43740783.

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 = 387047295 and 387047304.

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 47 ways as a sum of consecutive naturals, for example, 275961 + ... + 277359.

It is an arithmetic number, because the mean of its divisors is an integer number (8599500).

Almost surely, 2387047340 is an apocalyptic number.

387047340 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 387047340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619164000).

387047340 is an abundant number, since it is smaller than the sum of its proper divisors (851280660).

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

387047340 is a wasteful number, since it uses less digits than its factorization.

387047340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 387047340 is about 19673.5187498322. The cubic root of 387047340 is about 728.7658762589.

The spelling of 387047340 in words is "three hundred eighty-seven million, forty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 53 58 60 87 90 106 116 145 159 174 180 212 261 265 290 318 348 435 477 522 530 580 636 795 870 954 1044 1060 1305 1399 1537 1590 1740 1908 2385 2610 2798 3074 3180 4197 4611 4770 5220 5596 6148 6995 7685 8394 9222 9540 12591 13833 13990 15370 16788 18444 20985 23055 25182 27666 27980 30740 40571 41970 46110 50364 55332 62955 69165 74147 81142 83940 92220 121713 125910 138330 148294 162284 202855 222441 243426 251820 276660 296588 365139 370735 405710 444882 486852 608565 667323 730278 741470 811420 889764 1112205 1217130 1334646 1460556 1482940 1825695 2150263 2224410 2434260 2669292 3336615 3651390 4300526 4448820 6450789 6673230 7302780 8601052 10751315 12901578 13346460 19352367 21502630 25803156 32253945 38704734 43005260 64507890 77409468 96761835 129015780 193523670 387047340