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3420851680 = 255791272131
BaseRepresentation
bin1100101111100110…
…0000110111100000
322211101221021022101
43023321200313200
524001214223210
61323240420144
7150525521341
oct31371406740
98741837271
103420851680
1114a5a88554
127b5777654
13426946abc
142464780c8
151504c5a3a
hexcbe60de0

3420851680 has 96 divisors (see below), whose sum is σ = 8252375040. Its totient is φ = 1339752960.

The previous prime is 3420851677. The next prime is 3420851701. The reversal of 3420851680 is 861580243.

It is a happy number.

3420851680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1604215 + ... + 1606345.

It is an arithmetic number, because the mean of its divisors is an integer number (85962240).

Almost surely, 23420851680 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 3420851680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126187520).

3420851680 is an abundant number, since it is smaller than the sum of its proper divisors (4831523360).

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

3420851680 is a wasteful number, since it uses less digits than its factorization.

3420851680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2352 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 3420851680 is about 58488.0473259281. The cubic root of 3420851680 is about 1506.7623097802.

The spelling of 3420851680 in words is "three billion, four hundred twenty million, eight hundred fifty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 127 158 160 254 316 395 508 632 635 790 1016 1264 1270 1580 2032 2131 2528 2540 3160 4064 4262 5080 6320 8524 10033 10160 10655 12640 17048 20066 20320 21310 34096 40132 42620 50165 68192 80264 85240 100330 160528 168349 170480 200660 270637 321056 336698 340960 401320 541274 673396 802640 841745 1082548 1346792 1353185 1605280 1683490 2165096 2693584 2706370 3366980 4330192 5387168 5412740 6733960 8660384 10825480 13467920 21380323 21650960 26935840 42760646 43301920 85521292 106901615 171042584 213803230 342085168 427606460 684170336 855212920 1710425840 3420851680