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100344244 = 2271113191319
BaseRepresentation
bin1011111101100…
…10000110110100
320222211000102111
411332302012310
5201142003434
613542420404
72325624550
oct576620664
9228730374
10100344244
1151707130
1229731704
1317a343c0
14d480860
158c21964
hex5fb21b4

100344244 has 96 divisors (see below), whose sum is σ = 248371200. Its totient is φ = 34162560.

The previous prime is 100344227. The next prime is 100344253. The reversal of 100344244 is 442443001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75417 + ... + 76735.

It is an arithmetic number, because the mean of its divisors is an integer number (2587200).

Almost surely, 2100344244 is an apocalyptic number.

100344244 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 100344244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124185600).

100344244 is an abundant number, since it is smaller than the sum of its proper divisors (148026956).

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

100344244 is a wasteful number, since it uses less digits than its factorization.

100344244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 100344244 is about 10017.1974124503. The cubic root of 100344244 is about 464.6908864001.

Adding to 100344244 its reverse (442443001), we get a palindrome (542787245).

The spelling of 100344244 in words is "one hundred million, three hundred forty-four thousand, two hundred forty-four".

Divisors: 1 2 4 7 11 13 14 19 22 26 28 38 44 52 76 77 91 133 143 154 182 209 247 266 286 308 364 418 494 532 572 836 988 1001 1319 1463 1729 2002 2638 2717 2926 3458 4004 5276 5434 5852 6916 9233 10868 14509 17147 18466 19019 25061 29018 34294 36932 38038 50122 58036 68588 76076 100244 101563 120029 175427 188617 203126 240058 275671 325793 350854 377234 406252 480116 551342 651586 701708 754468 1102684 1303172 1320319 1929697 2280551 2640638 3583723 3859394 4561102 5281276 7167446 7718788 9122204 14334892 25086061 50172122 100344244