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3423454720 = 2957732617
BaseRepresentation
bin1100110000001101…
…1100011000000000
322211120211112000021
43030003130120000
524002401022340
61323412303224
7150556612360
oct31403343000
98746745007
103423454720
1114a74a6224
127b6611b14
1342734886a
142469549a0
1515083be4a
hexcc0dc600

3423454720 has 160 divisors (see below), whose sum is σ = 9513016128. Its totient is φ = 1157234688.

The previous prime is 3423454717. The next prime is 3423454729. The reversal of 3423454720 is 274543243.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3423454729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1306852 + ... + 1309468.

Almost surely, 23423454720 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 3423454720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4756508064).

3423454720 is an abundant number, since it is smaller than the sum of its proper divisors (6089561408).

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

3423454720 is an equidigital number, since it uses as much as digits as its factorization.

3423454720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 34.

The square root of 3423454720 is about 58510.2958461158. The cubic root of 3423454720 is about 1507.1443947613.

Adding to 3423454720 its reverse (274543243), we get a palindrome (3697997963).

The spelling of 3423454720 in words is "three billion, four hundred twenty-three million, four hundred fifty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 73 80 112 128 140 146 160 224 256 280 292 320 365 448 511 512 560 584 640 730 896 1022 1120 1168 1280 1460 1792 2044 2240 2336 2555 2560 2617 2920 3584 4088 4480 4672 5110 5234 5840 8176 8960 9344 10220 10468 11680 13085 16352 17920 18319 18688 20440 20936 23360 26170 32704 36638 37376 40880 41872 46720 52340 65408 73276 81760 83744 91595 93440 104680 130816 146552 163520 167488 183190 186880 191041 209360 261632 293104 327040 334976 366380 382082 418720 586208 654080 669952 732760 764164 837440 955205 1172416 1308160 1337287 1339904 1465520 1528328 1674880 1910410 2344832 2674574 2931040 3056656 3349760 3820820 4689664 5349148 5862080 6113312 6686435 6699520 7641640 9379328 10698296 11724160 12226624 13372870 15283280 21396592 23448320 24453248 26745740 30566560 42793184 46896640 48906496 53491480 61133120 85586368 97812992 106982960 122266240 171172736 213965920 244532480 342345472 427931840 489064960 684690944 855863680 1711727360 3423454720