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2010034320 = 243571962971
BaseRepresentation
bin111011111001110…
…1011000010010000
312012002020022201120
41313303223002100
513104032044240
6531242002240
7100545003240
oct16763530220
95162208646
102010034320
11941680598
124811a6380
1326057b728
14150d4bb20
15bb6e5ad0
hex77ceb090

2010034320 has 160 divisors (see below), whose sum is σ = 7496186880. Its totient is φ = 435248640.

The previous prime is 2010034303. The next prime is 2010034349. The reversal of 2010034320 is 234300102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2010034320.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 435 + ... + 63405.

It is an arithmetic number, because the mean of its divisors is an integer number (46851168).

Almost surely, 22010034320 is an apocalyptic number.

2010034320 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 2010034320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3748093440).

2010034320 is an abundant number, since it is smaller than the sum of its proper divisors (5486152560).

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

2010034320 is a wasteful number, since it uses less digits than its factorization.

2010034320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63013 (or 63007 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2010034320 is about 44833.4062948601. The cubic root of 2010034320 is about 1262.0246110047.

Adding to 2010034320 its reverse (234300102), we get a palindrome (2244334422).

The spelling of 2010034320 in words is "two billion, ten million, thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 35 38 40 42 48 56 57 60 70 76 80 84 95 105 112 114 120 133 140 152 168 190 210 228 240 266 280 285 304 336 380 399 420 456 532 560 570 665 760 798 840 912 1064 1140 1330 1520 1596 1680 1995 2128 2280 2660 3192 3990 4560 5320 6384 7980 10640 15960 31920 62971 125942 188913 251884 314855 377826 440797 503768 629710 755652 881594 944565 1007536 1196449 1259420 1322391 1511304 1763188 1889130 2203985 2392898 2518840 2644782 3022608 3526376 3589347 3778260 4407970 4785796 5037680 5289564 5982245 6611955 7052752 7178694 7556520 8375143 8815940 9571592 10579128 11964490 13223910 14357388 15113040 16750286 17631880 17946735 19143184 21158256 23928980 25125429 26447820 28714776 33500572 35263760 35893470 41875715 47857960 50250858 52895640 57429552 67001144 71786940 83751430 95715920 100501716 105791280 125627145 134002288 143573880 167502860 201003432 251254290 287147760 335005720 402006864 502508580 670011440 1005017160 2010034320