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1831397344 = 25722634441
BaseRepresentation
bin110110100101000…
…1110011111100000
311201122002121212021
41231022032133200
512222314203334
6501421111224
763245422600
oct15512163740
94648077767
101831397344
1185a859a27
124313b8514
1323256408a
1413532ac00
15aabab3b4
hex6d28e7e0

1831397344 has 72 divisors (see below), whose sum is σ = 4211122608. Its totient is φ = 781724160.

The previous prime is 1831397279. The next prime is 1831397377. The reversal of 1831397344 is 4437931381.

It is a super-2 number, since 2×18313973442 = 6708032463220508672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1831397344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 410164 + ... + 414604.

It is an arithmetic number, because the mean of its divisors is an integer number (58487814).

Almost surely, 21831397344 is an apocalyptic number.

1831397344 is a gapful number since it is divisible by the number (14) 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 1831397344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105561304).

1831397344 is an abundant number, since it is smaller than the sum of its proper divisors (2379725264).

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

1831397344 is a wasteful number, since it uses less digits than its factorization.

1831397344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4728 (or 4713 counting only the distinct ones).

The product of its digits is 217728, while the sum is 43.

The square root of 1831397344 is about 42794.8284726087. The cubic root of 1831397344 is about 1223.4724469810.

The spelling of 1831397344 in words is "one billion, eight hundred thirty-one million, three hundred ninety-seven thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 263 392 526 784 1052 1568 1841 2104 3682 4208 4441 7364 8416 8882 12887 14728 17764 25774 29456 31087 35528 51548 58912 62174 71056 103096 124348 142112 206192 217609 248696 412384 435218 497392 870436 994784 1167983 1740872 2335966 3481744 4671932 6963488 8175881 9343864 16351762 18687728 32703524 37375456 57231167 65407048 114462334 130814096 228924668 261628192 457849336 915698672 1831397344