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114774444 = 223237199433
BaseRepresentation
bin1101101011101…
…01000110101100
321222222010221100
412311311012230
5213340240234
615220003100
72562365241
oct665650654
9258863840
10114774444
1159872814
1232530490
131aa17595
14113595c8
15a122399
hex6d751ac

114774444 has 72 divisors (see below), whose sum is σ = 300154400. Its totient is φ = 36951552.

The previous prime is 114774397. The next prime is 114774487. The reversal of 114774444 is 444477411.

114774444 is a `hidden beast` number, since 1 + 147 + 74 + 444 = 666.

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 = 114774399 and 114774408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264852 + ... + 265284.

Almost surely, 2114774444 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 114774444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150077200).

114774444 is an abundant number, since it is smaller than the sum of its proper divisors (185379956).

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

114774444 is a wasteful number, since it uses less digits than its factorization.

114774444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 674 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

The square root of 114774444 is about 10713.2835302721. The cubic root of 114774444 is about 485.9762727836.

The spelling of 114774444 in words is "one hundred fourteen million, seven hundred seventy-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 199 222 333 398 433 444 597 666 796 866 1194 1299 1332 1732 1791 2388 2598 3582 3897 5196 7164 7363 7794 14726 15588 16021 22089 29452 32042 44178 48063 64084 66267 86167 88356 96126 132534 144189 172334 192252 258501 265068 288378 344668 517002 576756 775503 1034004 1551006 3102012 3188179 6376358 9564537 12752716 19129074 28693611 38258148 57387222 114774444