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334213440 = 26351131649
BaseRepresentation
bin10011111010111…
…011000101000000
3212021212210122120
4103322323011000
51141024312230
653055204240
711165524131
oct2372730500
9767783576
10334213440
11161722560
1293b16680
1354319842
143255bc88
151e51b310
hex13ebb140

334213440 has 112 divisors (see below), whose sum is σ = 1157630400. Its totient is φ = 81018880.

The previous prime is 334213393. The next prime is 334213441. The reversal of 334213440 is 44312433.

It is a super-2 number, since 2×3342134402 = 223397246953267200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 334213440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334213441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5265 + ... + 26384.

Almost surely, 2334213440 is an apocalyptic number.

334213440 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 334213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578815200).

334213440 is an abundant number, since it is smaller than the sum of its proper divisors (823416960).

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

334213440 is a wasteful number, since it uses less digits than its factorization.

334213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31680 (or 31670 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 334213440 is about 18281.5054084722. The cubic root of 334213440 is about 693.9709699479.

Adding to 334213440 its reverse (44312433), we get a palindrome (378525873).

The spelling of 334213440 in words is "three hundred thirty-four million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 31649 63298 94947 126596 158245 189894 253192 316490 348139 379788 474735 506384 632980 696278 759576 949470 1012768 1044417 1265960 1392556 1519152 1740695 1898940 2025536 2088834 2531920 2785112 3038304 3481390 3797880 4177668 5063840 5222085 5570224 6076608 6962780 7595760 8355336 10127680 10444170 11140448 13925560 15191520 16710672 20888340 22280896 27851120 30383040 33421344 41776680 55702240 66842688 83553360 111404480 167106720 334213440