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7350423444 = 22327132397553
BaseRepresentation
bin1101101100001111…
…01000111110010100
3200222021010012101100
412312013220332110
5110023202022234
63213213030100
7350102365650
oct66607507624
920867105340
107350423444
113132138a21
121511785330
13901aa9ab0
144da2d7a60
152d0488399
hex1b61e8f94

7350423444 has 144 divisors (see below), whose sum is σ = 23862488832. Its totient is φ = 1854268416.

The previous prime is 7350423439. The next prime is 7350423463. The reversal of 7350423444 is 4443240537.

It is a super-3 number, since 3×73504234443 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 7350423399 and 7350423408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26572 + ... + 124124.

It is an arithmetic number, because the mean of its divisors is an integer number (165711728).

Almost surely, 27350423444 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 7350423444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11931244416).

7350423444 is an abundant number, since it is smaller than the sum of its proper divisors (16512065388).

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

7350423444 is a wasteful number, since it uses less digits than its factorization.

7350423444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97606 (or 97601 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 36.

The square root of 7350423444 is about 85734.6105374020. The cubic root of 7350423444 is about 1944.3336221859. Note that the first 3 decimals are identical.

The spelling of 7350423444 in words is "seven billion, three hundred fifty million, four hundred twenty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 23 26 28 36 39 42 46 52 63 69 78 84 91 92 117 126 138 156 161 182 207 234 252 273 276 299 322 364 414 468 483 546 598 644 819 828 897 966 1092 1196 1449 1638 1794 1932 2093 2691 2898 3276 3588 4186 5382 5796 6279 8372 10764 12558 18837 25116 37674 75348 97553 195106 292659 390212 585318 682871 877977 1170636 1268189 1365742 1755954 2048613 2243719 2536378 2731484 3511908 3804567 4097226 4487438 5072756 6145839 6731157 7609134 8194452 8877323 8974876 11413701 12291678 13462314 15218268 15706033 17754646 20193471 22827402 24583356 26631969 26924628 29168347 31412066 35509292 40386942 45654804 47118099 53263938 58336694 62824132 79895907 80773884 87505041 94236198 106527876 116673388 141354297 159791814 175010082 188472396 204178429 262515123 282708594 319583628 350020164 408356858 525030246 565417188 612535287 816713716 1050060492 1225070574 1837605861 2450141148 3675211722 7350423444