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2123401344 = 27329474057
BaseRepresentation
bin111111010010000…
…1000100010000000
312110222112222001020
41332210020202000
513322042320334
6550411505440
7103422420321
oct17644104200
95428488036
102123401344
1199a671949
124b3158280
1327abc24cc
1416201c448
15c663ae49
hex7e908880

2123401344 has 128 divisors (see below), whose sum is σ = 5960390400. Its totient is φ = 668688384.

The previous prime is 2123401321. The next prime is 2123401349. The reversal of 2123401344 is 4431043212.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2123401349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 521364 + ... + 525420.

It is an arithmetic number, because the mean of its divisors is an integer number (46565550).

Almost surely, 22123401344 is an apocalyptic number.

2123401344 is a gapful number since it is divisible by the number (24) 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 2123401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2980195200).

2123401344 is an abundant number, since it is smaller than the sum of its proper divisors (3836989056).

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

2123401344 is a wasteful number, since it uses less digits than its factorization.

2123401344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4150 (or 4138 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2123401344 is about 46080.3791651067. The cubic root of 2123401344 is about 1285.3183148597.

Adding to 2123401344 its reverse (4431043212), we get a palindrome (6554444556).

The spelling of 2123401344 in words is "two billion, one hundred twenty-three million, four hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 47 48 58 64 87 94 96 116 128 141 174 188 192 232 282 348 376 384 464 564 696 752 928 1128 1363 1392 1504 1856 2256 2726 2784 3008 3712 4057 4089 4512 5452 5568 6016 8114 8178 9024 10904 11136 12171 16228 16356 18048 21808 24342 32456 32712 43616 48684 64912 65424 87232 97368 117653 129824 130848 174464 190679 194736 235306 259648 261696 352959 381358 389472 470612 519296 523392 572037 705918 762716 778944 941224 1144074 1411836 1525432 1557888 1882448 2288148 2823672 3050864 3764896 4576296 5529691 5647344 6101728 7529792 9152592 11059382 11294688 12203456 15059584 16589073 18305184 22118764 22589376 24406912 33178146 36610368 44237528 45178752 66356292 73220736 88475056 132712584 176950112 265425168 353900224 530850336 707800448 1061700672 2123401344