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381621604 = 227213241281
BaseRepresentation
bin10110101111110…
…001010101100100
3222121002101102111
4112233301111210
51240143342404
6101511250404
712312505300
oct2657612544
9877071374
10381621604
11186462a61
12a7979a04
13610a8300
143897cd00
1523783104
hex16bf1564

381621604 has 108 divisors (see below), whose sum is σ = 864813348. Its totient is φ = 146764800.

The previous prime is 381621601. The next prime is 381621607. The reversal of 381621604 is 406126183.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (381621601) and next prime (381621607).

It can be written as a sum of positive squares in 6 ways, for example, as 115605504 + 266016100 = 10752^2 + 16310^2 .

It is not an unprimeable number, because it can be changed into a prime (381621601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1357944 + ... + 1358224.

It is an arithmetic number, because the mean of its divisors is an integer number (8007531).

Almost surely, 2381621604 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 381621604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432406674).

381621604 is an abundant number, since it is smaller than the sum of its proper divisors (483191744).

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

381621604 is a wasteful number, since it uses less digits than its factorization.

381621604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 381621604 is about 19535.1376754811. The cubic root of 381621604 is about 725.3444920121.

Adding to 381621604 its reverse (406126183), we get a palindrome (787747787).

The spelling of 381621604 in words is "three hundred eighty-one million, six hundred twenty-one thousand, six hundred four".

Divisors: 1 2 4 7 13 14 26 28 41 49 52 82 91 98 164 169 182 196 281 287 338 364 533 562 574 637 676 1066 1124 1148 1183 1274 1967 2009 2132 2366 2548 3653 3731 3934 4018 4732 6929 7306 7462 7868 8036 8281 11521 13769 13858 14612 14924 16562 23042 25571 26117 27538 27716 33124 46084 47489 48503 51142 52234 55076 80647 94978 97006 102284 104468 149773 161294 178997 189956 194012 299546 322588 332423 339521 357994 564529 599092 664846 679042 715988 1048411 1129058 1329692 1358084 1947049 2096822 2258116 2326961 3894098 4193644 4653922 7338877 7788196 9307844 13629343 14677754 27258686 29355508 54517372 95405401 190810802 381621604