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3378122720 = 25572430883
BaseRepresentation
bin1100100101011010…
…0000111111100000
322201102112102012022
43021112200333200
523404244411340
61315112521012
7146466366200
oct31126407740
98642472168
103378122720
111483953665
127a33b0168
1341ab360ab
14240914400
1514b8853b5
hexc95a0fe0

3378122720 has 72 divisors (see below), whose sum is σ = 9283826664. Its totient is φ = 1158210816.

The previous prime is 3378122719. The next prime is 3378122729. The reversal of 3378122720 is 272218733.

It is a happy number.

It is a super-2 number, since 2×33781227202 = 22823426222760396800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3378122729) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 207602 + ... + 223281.

It is an arithmetic number, because the mean of its divisors is an integer number (128942037).

Almost surely, 23378122720 is an apocalyptic number.

It is an amenable number.

3378122720 is an abundant number, since it is smaller than the sum of its proper divisors (5905703944).

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

3378122720 is a wasteful number, since it uses less digits than its factorization.

3378122720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430912 (or 430897 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 3378122720 is about 58121.6200737729. The cubic root of 3378122720 is about 1500.4624825771.

The spelling of 3378122720 in words is "three billion, three hundred seventy-eight million, one hundred twenty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 430883 861766 1723532 2154415 3016181 3447064 4308830 6032362 6894128 8617660 12064724 13788256 15080905 17235320 21113267 24129448 30161810 34470640 42226534 48258896 60323620 68941280 84453068 96517792 105566335 120647240 168906136 211132670 241294480 337812272 422265340 482588960 675624544 844530680 1689061360 3378122720