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234663444 = 2232171312927
BaseRepresentation
bin11011111110010…
…10111000010100
3121100120010201200
431333022320110
5440033212234
635141352500
75546414661
oct1577127024
9540503650
10234663444
11110509134
1266708730
1339802b12
1423246a68
1515904d99
hexdfcae14

234663444 has 72 divisors (see below), whose sum is σ = 633080448. Its totient is φ = 73032960.

The previous prime is 234663437. The next prime is 234663463. The reversal of 234663444 is 444366432.

It is a super-2 number, since 2×2346634442 = 110133863899882272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 234663399 and 234663408.

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, 78709 + ... + 81635.

It is an arithmetic number, because the mean of its divisors is an integer number (8792784).

Almost surely, 2234663444 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 234663444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316540224).

234663444 is an abundant number, since it is smaller than the sum of its proper divisors (398417004).

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

234663444 is a wasteful number, since it uses less digits than its factorization.

234663444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3085 (or 3080 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

The square root of 234663444 is about 15318.7285373167. The cubic root of 234663444 is about 616.8058443430.

The spelling of 234663444 in words is "two hundred thirty-four million, six hundred sixty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 131 153 204 262 306 393 524 612 786 1179 1572 2227 2358 2927 4454 4716 5854 6681 8781 8908 11708 13362 17562 20043 26343 26724 35124 40086 49759 52686 80172 99518 105372 149277 199036 298554 383437 447831 597108 766874 895662 1150311 1533748 1791324 2300622 3450933 4601244 6518429 6901866 13036858 13803732 19555287 26073716 39110574 58665861 78221148 117331722 234663444