Search a number
-
+
3305025024 = 29371492063
BaseRepresentation
bin1100010011111110…
…1010111000000000
322112022222200000020
43010333222320000
523232041300044
61303542053440
7144621151320
oct30477527000
98468880006
103305025024
111446667244
12782a1a280
13408951612
14234d27280
15145246a19
hexc4feae00

3305025024 has 160 divisors (see below), whose sum is σ = 10135065600. Its totient is φ = 937500672.

The previous prime is 3305025019. The next prime is 3305025071. The reversal of 3305025024 is 4205205033.

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

It is a junction number, because it is equal to n+sod(n) for n = 3305024985 and 3305025003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1601017 + ... + 1603079.

It is an arithmetic number, because the mean of its divisors is an integer number (63344160).

Almost surely, 23305025024 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 3305025024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5067532800).

3305025024 is an abundant number, since it is smaller than the sum of its proper divisors (6830040576).

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

3305025024 is a wasteful number, since it uses less digits than its factorization.

3305025024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 3305025024 is about 57489.3470479532. The cubic root of 3305025024 is about 1489.5608549243.

Subtracting 3305025024 from its reverse (4205205033), we obtain a square (900180009 = 300032).

The spelling of 3305025024 in words is "three billion, three hundred five million, twenty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 149 168 192 224 256 298 336 384 447 448 512 596 672 768 894 896 1043 1192 1344 1536 1788 1792 2063 2086 2384 2688 3129 3576 3584 4126 4172 4768 5376 6189 6258 7152 8252 8344 9536 10752 12378 12516 14304 14441 16504 16688 19072 24756 25032 28608 28882 33008 33376 38144 43323 49512 50064 57216 57764 66016 66752 76288 86646 99024 100128 114432 115528 132032 133504 173292 198048 200256 228864 231056 264064 267008 307387 346584 396096 400512 462112 528128 534016 614774 693168 792192 801024 922161 924224 1056256 1229548 1386336 1584384 1602048 1844322 1848448 2151709 2459096 2772672 3168768 3688644 3696896 4303418 4918192 5545344 6455127 7377288 7393792 8606836 9836384 11090688 12910254 14754576 17213672 19672768 22181376 25820508 29509152 34427344 39345536 51641016 59018304 68854688 78691072 103282032 118036608 137709376 157382144 206564064 236073216 275418752 413128128 472146432 550837504 826256256 1101675008 1652512512 3305025024