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3426706480 = 245891812659
BaseRepresentation
bin1100110000111111…
…0110010000110000
322211210221201120211
43030033312100300
524004214101410
61324010113504
7150626344621
oct31417662060
98753851524
103426706480
1114a931732a
127b771b894
13427c16992
1424715da48
15150c8068a
hexcc3f6430

3426706480 has 80 divisors (see below), whose sum is σ = 8104168800. Its totient is φ = 1347287040.

The previous prime is 3426706469. The next prime is 3426706483. The reversal of 3426706480 is 846076243.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3426706483) 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, 1287391 + ... + 1290049.

It is an arithmetic number, because the mean of its divisors is an integer number (101302110).

Almost surely, 23426706480 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 3426706480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4052084400).

3426706480 is an abundant number, since it is smaller than the sum of its proper divisors (4677462320).

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

3426706480 is a wasteful number, since it uses less digits than its factorization.

3426706480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2942 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The square root of 3426706480 is about 58538.0771805839. The cubic root of 3426706480 is about 1507.6214295485.

The spelling of 3426706480 in words is "three billion, four hundred twenty-six million, seven hundred six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 181 356 362 445 712 724 890 905 1424 1448 1780 1810 2659 2896 3560 3620 5318 7120 7240 10636 13295 14480 16109 21272 26590 32218 42544 53180 64436 80545 106360 128872 161090 212720 236651 257744 322180 473302 481279 644360 946604 962558 1183255 1288720 1893208 1925116 2366510 2406395 3786416 3850232 4733020 4812790 7700464 9466040 9625580 18932080 19251160 38502320 42833831 85667662 171335324 214169155 342670648 428338310 685341296 856676620 1713353240 3426706480