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3456784914 = 2311733372129
BaseRepresentation
bin1100111000001010…
…0101101000010010
322220220112212102220
43032002211220102
524034414104124
61331002521510
7151443121062
oct31602455022
98826485386
103456784914
1115142a0740
12805806296
1343121857b
1424b14d3a2
15153722879
hexce0a5a12

3456784914 has 64 divisors (see below), whose sum is σ = 7671680640. Its totient is φ = 1029611520.

The previous prime is 3456784897. The next prime is 3456784943. The reversal of 3456784914 is 4194876543.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 1622602 + ... + 1624730.

It is an arithmetic number, because the mean of its divisors is an integer number (119870010).

Almost surely, 23456784914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3456784914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3835840320).

3456784914 is an abundant number, since it is smaller than the sum of its proper divisors (4214895726).

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

3456784914 is a wasteful number, since it uses less digits than its factorization.

3456784914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555.

The product of its digits is 2903040, while the sum is 51.

The square root of 3456784914 is about 58794.4292769307. The cubic root of 3456784914 is about 1512.0197106624.

The spelling of 3456784914 in words is "three billion, four hundred fifty-six million, seven hundred eighty-four thousand, nine hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 73 146 219 337 438 674 803 1011 1606 2022 2129 2409 3707 4258 4818 6387 7414 11121 12774 22242 23419 24601 46838 49202 70257 73803 140514 147606 155417 270611 310834 466251 541222 717473 811833 932502 1434946 1623666 1709587 2152419 3419174 4304838 5128761 7892203 10257522 15784406 23676609 47353218 52375529 104751058 157126587 314253174 576130819 1152261638 1728392457 3456784914