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34444440 = 2334510631
BaseRepresentation
bin1000001101100…
…1010010011000
32101210221220000
42003121102120
532304210230
63230133000
7565526052
oct203312230
971727800
1034444440
1118496688
12b651160
13719cc34
1448088d2
153055b60
hex20d9498

34444440 has 80 divisors (see below), whose sum is σ = 115782480. Its totient is φ = 9184320.

The previous prime is 34444427. The next prime is 34444453. The reversal of 34444440 is 4444443.

It is an interprime number because it is at equal distance from previous prime (34444427) and next prime (34444453).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2076 + ... + 8555.

It is an arithmetic number, because the mean of its divisors is an integer number (1447281).

Almost surely, 234444440 is an apocalyptic number.

34444440 is a gapful number since it is divisible by the number (30) 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 34444440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57891240).

34444440 is an abundant number, since it is smaller than the sum of its proper divisors (81338040).

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

34444440 is a wasteful number, since it uses less digits than its factorization.

34444440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10654 (or 10641 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 34444440 is about 5868.9385752451. The cubic root of 34444440 is about 325.3666552286.

Adding to 34444440 its reverse (4444443), we get a palindrome (38888883).

The spelling of 34444440 in words is "thirty-four million, four hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 10631 21262 31893 42524 53155 63786 85048 95679 106310 127572 159465 191358 212620 255144 287037 318930 382716 425240 478395 574074 637860 765432 861111 956790 1148148 1275720 1435185 1722222 1913580 2296296 2870370 3444444 3827160 4305555 5740740 6888888 8611110 11481480 17222220 34444440