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3424927630336 = 21015123832
BaseRepresentation
bin110001110101101101100…
…110000100010000000000
3110010102100002120110201221
4301311231212010100000
5422103222433132321
611141220125204424
7502304620343152
oct61655546042000
913112302513657
103424927630336
11110055a3a5763
12473935400714
131bac7a6b6464
14bbaa59a4ad2
155e1547b6e41
hex31d6d984400

3424927630336 has 99 divisors (see below), whose sum is σ = 6910194166743. Its totient is φ = 1696681420800.

The previous prime is 3424927630331. The next prime is 3424927630343. The reversal of 3424927630336 is 6330367294243.

The square root of 3424927630336 is 1850656.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3424927630331) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8942369601 + ... + 8942369983.

Almost surely, 23424927630336 is an apocalyptic number.

3424927630336 is the 1850656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3424927630336

3424927630336 is an abundant number, since it is smaller than the sum of its proper divisors (3485266536407).

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

3424927630336 is an frugal number, since it uses more digits than its factorization.

3424927630336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 52.

The spelling of 3424927630336 in words is "three trillion, four hundred twenty-four billion, nine hundred twenty-seven million, six hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 151 256 302 383 512 604 766 1024 1208 1532 2416 3064 4832 6128 9664 12256 19328 22801 24512 38656 45602 49024 57833 77312 91204 98048 115666 146689 154624 182408 196096 231332 293378 364816 392192 462664 586756 729632 925328 1173512 1459264 1850656 2347024 2918528 3701312 4694048 5837056 7402624 8732783 9388096 11674112 14805248 17465566 18776192 22150039 23348224 29610496 34931132 37552384 44300078 59220992 69862264 75104768 88600156 139724528 150209536 177200312 279449056 354400624 558898112 708801248 1117796224 1417602496 2235592448 2835204992 3344655889 4471184896 5670409984 6689311778 8942369792 11340819968 13378623556 22681639936 26757247112 53514494224 107028988448 214057976896 428115953792 856231907584 1712463815168 3424927630336