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3424942320 = 2435101229617
BaseRepresentation
bin1100110000100100…
…0111100011110000
322211200122002121120
43030021013203300
524003241123240
61323504222240
7150605346402
oct31411074360
98750562546
103424942320
1114a8321948
127b700a980
134277499b7
14246c20b72
15150a32ad0
hexcc2478f0

3424942320 has 160 divisors (see below), whose sum is σ = 10786720320. Its totient is φ = 898867200.

The previous prime is 3424942277. The next prime is 3424942321. The reversal of 3424942320 is 232494243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3424942321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5550652 + ... + 5551268.

It is an arithmetic number, because the mean of its divisors is an integer number (67417002).

Almost surely, 23424942320 is an apocalyptic number.

3424942320 is a gapful number since it is divisible by the number (30) 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 3424942320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5393360160).

3424942320 is an abundant number, since it is smaller than the sum of its proper divisors (7361778000).

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

3424942320 is a wasteful number, since it uses less digits than its factorization.

3424942320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 3424942320 is about 58523.0067580264. The cubic root of 3424942320 is about 1507.3626638802.

The spelling of 3424942320 in words is "three billion, four hundred twenty-four million, nine hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 101 120 202 229 240 303 404 458 505 606 617 687 808 916 1010 1145 1212 1234 1374 1515 1616 1832 1851 2020 2290 2424 2468 2748 3030 3085 3435 3664 3702 4040 4580 4848 4936 5496 6060 6170 6870 7404 8080 9160 9255 9872 10992 12120 12340 13740 14808 18320 18510 23129 24240 24680 27480 29616 37020 46258 49360 54960 62317 69387 74040 92516 115645 124634 138774 141293 148080 185032 186951 231290 249268 277548 282586 311585 346935 370064 373902 423879 462580 498536 555096 565172 623170 693870 706465 747804 847758 925160 934755 997072 1110192 1130344 1246340 1387740 1412930 1495608 1695516 1850320 1869510 2119395 2260688 2492680 2775480 2825860 2991216 3391032 3739020 4238790 4985360 5550960 5651720 6782064 7478040 8477580 11303440 14270593 14956080 16955160 28541186 33910320 42811779 57082372 71352965 85623558 114164744 142705930 171247116 214058895 228329488 285411860 342494232 428117790 570823720 684988464 856235580 1141647440 1712471160 3424942320