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2029034240 = 28523413
BaseRepresentation
bin111100011110000…
…1001101100000000
312020101222121201022
41320330021230000
513123413043430
6533201125012
7101165335502
oct17074115400
95211877638
102029034240
11951378502
12487629768
132644a189c
14153695d72
15bd1ea4e5
hex78f09b00

2029034240 has 144 divisors (see below), whose sum is σ = 5198268096. Its totient is φ = 757391360.

The previous prime is 2029034219. The next prime is 2029034243. The reversal of 2029034240 is 424309202.

It is not an unprimeable number, because it can be changed into a prime (2029034243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49488620 + ... + 49488660.

It is an arithmetic number, because the mean of its divisors is an integer number (36099084).

Almost surely, 22029034240 is an apocalyptic number.

2029034240 is a gapful number since it is divisible by the number (20) 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 2029034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2599134048).

2029034240 is an abundant number, since it is smaller than the sum of its proper divisors (3169233856).

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

2029034240 is an frugal number, since it uses more digits than its factorization.

2029034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 2029034240 is about 45044.8025858700. The cubic root of 2029034240 is about 1265.9885912153.

The spelling of 2029034240 in words is "two billion, twenty-nine million, thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 41 46 64 80 82 92 115 128 160 164 184 205 230 256 320 328 368 410 460 640 656 736 820 920 943 1280 1312 1472 1640 1681 1840 1886 2624 2944 3280 3362 3680 3772 4715 5248 5888 6560 6724 7360 7544 8405 9430 10496 13120 13448 14720 15088 16810 18860 26240 26896 29440 30176 33620 37720 38663 52480 53792 60352 67240 68921 75440 77326 107584 120704 134480 137842 150880 154652 193315 215168 241408 268960 275684 301760 309304 344605 386630 430336 537920 551368 603520 618608 689210 773260 1075840 1102736 1207040 1237216 1378420 1546520 1585183 2151680 2205472 2474432 2756840 3093040 3170366 4410944 4948864 5513680 6186080 6340732 7925915 8821888 9897728 11027360 12372160 12681464 15851830 17643776 22054720 24744320 25362928 31703660 44109440 49488640 50725856 63407320 88218880 101451712 126814640 202903424 253629280 405806848 507258560 1014517120 2029034240