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3423132264 = 233199477927
BaseRepresentation
bin1100110000001000…
…1101101001101000
322211120020010200110
43030002031221220
524002310213024
61323401334320
7150554100306
oct31402155150
98746203613
103423132264
1114a72a5a32
127b64973a0
13427264b66
142468ad276
151507c6629
hexcc08da68

3423132264 has 64 divisors (see below), whose sum is σ = 9018892800. Its totient is φ = 1079711424.

The previous prime is 3423132263. The next prime is 3423132277. The reversal of 3423132264 is 4622313243.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3423132263) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 427869 + ... + 435795.

It is an arithmetic number, because the mean of its divisors is an integer number (140920200).

Almost surely, 23423132264 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 3423132264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4509446400).

3423132264 is an abundant number, since it is smaller than the sum of its proper divisors (5595760536).

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

3423132264 is a wasteful number, since it uses less digits than its factorization.

3423132264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8902 (or 8898 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

The square root of 3423132264 is about 58507.5402320077. The cubic root of 3423132264 is about 1507.0970738480.

The spelling of 3423132264 in words is "three billion, four hundred twenty-three million, one hundred thirty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 947 1894 2841 3788 5682 7576 7927 11364 15854 17993 22728 23781 31708 35986 47562 53979 63416 71972 95124 107958 143944 150613 190248 215916 301226 431832 451839 602452 903678 1204904 1807356 3614712 7506869 15013738 22520607 30027476 45041214 60054952 90082428 142630511 180164856 285261022 427891533 570522044 855783066 1141044088 1711566132 3423132264