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3314340040 = 235112691991
BaseRepresentation
bin1100010110001100…
…1101000011001000
322112222111220210211
43011203031003020
523241432340130
61304513450504
7145063265644
oct30543150310
98488456724
103314340040
111450949800
12785b70a34
1340a86346b
1423626dc24
15145e86a2a
hexc58cd0c8

3314340040 has 96 divisors (see below), whose sum is σ = 8216974080. Its totient is φ = 1202256000.

The previous prime is 3314340019. The next prime is 3314340053. The reversal of 3314340040 is 400434133.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 3314339993 and 3314340020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3343945 + ... + 3344935.

It is an arithmetic number, because the mean of its divisors is an integer number (85593480).

Almost surely, 23314340040 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 3314340040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4108487040).

3314340040 is an abundant number, since it is smaller than the sum of its proper divisors (4902634040).

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

3314340040 is a wasteful number, since it uses less digits than its factorization.

3314340040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3314340040 is about 57570.3051928683. The cubic root of 3314340040 is about 1490.9589550815.

Adding to 3314340040 its reverse (400434133), we get a palindrome (3714774173).

The spelling of 3314340040 in words is "three billion, three hundred fourteen million, three hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 691 968 991 1210 1382 1982 2420 2764 3455 3964 4840 4955 5528 6910 7601 7928 9910 10901 13820 15202 19820 21802 27640 30404 38005 39640 43604 54505 60808 76010 83611 87208 109010 119911 152020 167222 218020 239822 304040 334444 418055 436040 479644 599555 668888 684781 836110 959288 1199110 1369562 1672220 2398220 2739124 3344440 3423905 4796440 5478248 6847810 7532591 13695620 15065182 27391240 30130364 37662955 60260728 75325910 82858501 150651820 165717002 301303640 331434004 414292505 662868008 828585010 1657170020 3314340040