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3420643520 = 26576192467
BaseRepresentation
bin1100101111100010…
…1110000011000000
322211101112200202202
43023320232003000
524001141043040
61323232132332
7150523663430
oct31370560300
98741480682
103420643520
1114a5956118
127b56970a8
134268a3128
142464222c0
15150484015
hexcbe2e0c0

3420643520 has 112 divisors (see below), whose sum is σ = 9327855360. Its totient is φ = 1170422784.

The previous prime is 3420643481. The next prime is 3420643547. The reversal of 3420643520 is 253460243.

It is a tau number, because it is divible by the number of its divisors (112).

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, 1385327 + ... + 1387793.

Almost surely, 23420643520 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 3420643520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4663927680).

3420643520 is an abundant number, since it is smaller than the sum of its proper divisors (5907211840).

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

3420643520 is a wasteful number, since it uses less digits than its factorization.

3420643520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3110 (or 3100 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

The square root of 3420643520 is about 58486.2677899693. The cubic root of 3420643520 is about 1506.7317468255.

The spelling of 3420643520 in words is "three billion, four hundred twenty million, six hundred forty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 619 1120 1238 2240 2467 2476 3095 4333 4934 4952 6190 8666 9868 9904 12335 12380 17269 17332 19736 19808 21665 24670 24760 34538 34664 39472 39616 43330 49340 49520 69076 69328 78944 86345 86660 98680 99040 138152 138656 157888 172690 173320 197360 198080 276304 277312 345380 346640 394720 552608 690760 693280 789440 1105216 1381520 1386560 1527073 2763040 3054146 5526080 6108292 7635365 10689511 12216584 15270730 21379022 24433168 30541460 42758044 48866336 53447555 61082920 85516088 97732672 106895110 122165840 171032176 213790220 244331680 342064352 427580440 488663360 684128704 855160880 1710321760 3420643520