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3424735974 = 23113111314813
BaseRepresentation
bin1100110000100001…
…0101001011100110
322211200020121120010
43030020111023212
524003213022344
61323455551050
7150603526662
oct31410251346
98750217503
103424735974
1114a81a0910
127b6b2b486
134276a6aba
14246ba98a2
151509e18b9
hexcc2152e6

3424735974 has 64 divisors (see below), whose sum is σ = 7781971968. Its totient is φ = 995366400.

The previous prime is 3424735973. The next prime is 3424735987. The reversal of 3424735974 is 4795374243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3424735973) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223792 + ... + 238604.

It is an arithmetic number, because the mean of its divisors is an integer number (121593312).

Almost surely, 23424735974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3424735974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3890985984).

3424735974 is an abundant number, since it is smaller than the sum of its proper divisors (4357235994).

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

3424735974 is a wasteful number, since it uses less digits than its factorization.

3424735974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14973.

The product of its digits is 2540160, while the sum is 48.

The square root of 3424735974 is about 58521.2437837748. The cubic root of 3424735974 is about 1507.3323913993.

The spelling of 3424735974 in words is "three billion, four hundred twenty-four million, seven hundred thirty-five thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 113 186 226 339 341 678 682 1023 1243 2046 2486 3503 3729 7006 7458 10509 14813 21018 29626 38533 44439 77066 88878 115599 162943 231198 325886 459203 488829 918406 977658 1377609 1673869 2755218 3347738 5021607 5051233 10043214 10102466 15153699 18412559 30307398 36825118 51889939 55237677 103779878 110475354 155669817 311339634 570789329 1141578658 1712367987 3424735974