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3421696960 = 265115318341
BaseRepresentation
bin1100101111110010…
…1111001111000000
322211110112012211001
43023330233033000
524001423300320
61323310501344
7150535641613
oct31374571700
98743465731
103421696960
1114a6505630
127b5b04854
13426b81776
1424661817a
151505e120a
hexcbf2f3c0

3421696960 has 112 divisors (see below), whose sum is σ = 9056839392. Its totient is φ = 1220710400.

The previous prime is 3421696939. The next prime is 3421696963. The reversal of 3421696960 is 696961243.

It is a self number, because there is not a number n which added to its sum of digits gives 3421696960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3421696963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177390 + ... + 195730.

Almost surely, 23421696960 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 3421696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528419696).

3421696960 is an abundant number, since it is smaller than the sum of its proper divisors (5635142432).

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

3421696960 is a wasteful number, since it uses less digits than its factorization.

3421696960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18422 (or 18412 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 46.

The square root of 3421696960 is about 58495.2729714120. The cubic root of 3421696960 is about 1506.8864047206.

The spelling of 3421696960 in words is "three billion, four hundred twenty-one million, six hundred ninety-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 53 55 64 80 88 106 110 160 176 212 220 265 320 352 424 440 530 583 704 848 880 1060 1166 1696 1760 2120 2332 2915 3392 3520 4240 4664 5830 8480 9328 11660 16960 18341 18656 23320 36682 37312 46640 73364 91705 93280 146728 183410 186560 201751 293456 366820 403502 586912 733640 807004 972073 1008755 1173824 1467280 1614008 1944146 2017510 2934560 3228016 3888292 4035020 4860365 5869120 6456032 7776584 8070040 9720730 10692803 12912064 15553168 16140080 19441460 21385606 31106336 32280160 38882920 42771212 53464015 62212672 64560320 77765840 85542424 106928030 155531680 171084848 213856060 311063360 342169696 427712120 684339392 855424240 1710848480 3421696960