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34299144 = 233211231127
BaseRepresentation
bin1000001011010…
…1110100001000
32101112120120200
42002311310020
532240033034
63223052200
7564352335
oct202656410
971476520
1034299144
11183a7500
12b5a1060
13714ba69
1447ab98c
153027a99
hex20b5d08

34299144 has 144 divisors (see below), whose sum is σ = 106229760. Its totient is φ = 9979200.

The previous prime is 34299137. The next prime is 34299151. The reversal of 34299144 is 44199243.

It is an interprime number because it is at equal distance from previous prime (34299137) and next prime (34299151).

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.

Its product of digits (31104) is a multiple of the sum of its prime factors (192).

It is a junction number, because it is equal to n+sod(n) for n = 34299099 and 34299108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 270009 + ... + 270135.

Almost surely, 234299144 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 34299144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53114880).

34299144 is an abundant number, since it is smaller than the sum of its proper divisors (71930616).

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

34299144 is a wasteful number, since it uses less digits than its factorization.

34299144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 174 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 34299144 is about 5856.5471055905. The cubic root of 34299144 is about 324.9085154732.

Subtracting 34299144 from its reverse (44199243), we obtain a palindrome (9900099).

It can be divided in two parts, 34299 and 144, that added together give a palindrome (34443).

The spelling of 34299144 in words is "thirty-four million, two hundred ninety-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 31 33 36 44 62 66 72 88 93 99 121 124 127 132 186 198 242 248 254 264 279 341 363 372 381 396 484 508 558 682 726 744 762 792 968 1016 1023 1089 1116 1143 1364 1397 1452 1524 2046 2178 2232 2286 2728 2794 2904 3048 3069 3751 3937 4092 4191 4356 4572 5588 6138 7502 7874 8184 8382 8712 9144 11176 11253 11811 12276 12573 15004 15367 15748 16764 22506 23622 24552 25146 30008 30734 31496 33528 33759 35433 43307 45012 46101 47244 50292 61468 67518 70866 86614 90024 92202 94488 100584 122936 129921 135036 138303 141732 173228 184404 259842 270072 276606 283464 346456 368808 389763 476377 519684 553212 779526 952754 1039368 1106424 1429131 1559052 1905508 2858262 3118104 3811016 4287393 5716524 8574786 11433048 17149572 34299144