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3420346880 = 2952515323
BaseRepresentation
bin1100101111011110…
…0101101000000000
322211100222121212002
43023313211220000
524001102100010
61323221523132
7150521316536
oct31367455000
98740877762
103420346880
1114a5773265
127b55734a8
134267cb0c2
14246386156
151504261a5
hexcbde5a00

3420346880 has 80 divisors (see below), whose sum is σ = 8235035424. Its totient is φ = 1362432000.

The previous prime is 3420346877. The next prime is 3420346903. The reversal of 3420346880 is 886430243.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 639899 + ... + 645221.

Almost surely, 23420346880 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 3420346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4117517712).

3420346880 is an abundant number, since it is smaller than the sum of its proper divisors (4814688544).

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

3420346880 is an equidigital number, since it uses as much as digits as its factorization.

3420346880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5597 (or 5581 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The square root of 3420346880 is about 58483.7317550787. The cubic root of 3420346880 is about 1506.6881907107.

The spelling of 3420346880 in words is "three billion, four hundred twenty million, three hundred forty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 251 256 320 502 512 640 1004 1255 1280 2008 2510 2560 4016 5020 5323 8032 10040 10646 16064 20080 21292 26615 32128 40160 42584 53230 64256 80320 85168 106460 128512 160640 170336 212920 321280 340672 425840 642560 681344 851680 1336073 1362688 1703360 2672146 2725376 3406720 5344292 6680365 6813440 10688584 13360730 13626880 21377168 26721460 42754336 53442920 85508672 106885840 171017344 213771680 342034688 427543360 684069376 855086720 1710173440 3420346880