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3422247440 = 24567761839
BaseRepresentation
bin1100101111111011…
…0101101000010000
322211111120011221012
43023332311220100
524002043404230
61323330350052
7150543423533
oct31376655020
98744504835
103422247440
1114a6851177
127b612b328
134270151b1
1424671ca1a
1515069e395
hexcbfb5a10

3422247440 has 80 divisors (see below), whose sum is σ = 8095731840. Its totient is φ = 1345090560.

The previous prime is 3422247427. The next prime is 3422247461. The reversal of 3422247440 is 447422243.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 3422247397 and 3422247406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4078541 + ... + 4079379.

It is an arithmetic number, because the mean of its divisors is an integer number (101196648).

Almost surely, 23422247440 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 3422247440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4047865920).

3422247440 is an abundant number, since it is smaller than the sum of its proper divisors (4673484400).

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

3422247440 is a wasteful number, since it uses less digits than its factorization.

3422247440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 32.

The square root of 3422247440 is about 58499.9781196540. The cubic root of 3422247440 is about 1506.9672092997.

Adding to 3422247440 its reverse (447422243), we get a palindrome (3869669683).

The spelling of 3422247440 in words is "three billion, four hundred twenty-two million, two hundred forty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 761 839 1072 1340 1522 1678 2680 3044 3356 3805 4195 5360 6088 6712 7610 8390 12176 13424 15220 16780 30440 33560 50987 56213 60880 67120 101974 112426 203948 224852 254935 281065 407896 449704 509870 562130 638479 815792 899408 1019740 1124260 1276958 2039480 2248520 2553916 3192395 4078960 4497040 5107832 6384790 10215664 12769580 25539160 42778093 51078320 85556186 171112372 213890465 342224744 427780930 684449488 855561860 1711123720 3422247440