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3629342268 = 2233535211217
BaseRepresentation
bin1101100001010011…
…0101111000111100
3100100221020200122000
43120110311320330
524413102423033
61400045222300
7155636620536
oct33024657074
910327220560
103629342268
1115a273a622
12853561990
1345abb4906
1426602a856
1516395aa13
hexd8535e3c

3629342268 has 96 divisors (see below), whose sum is σ = 9613235520. Its totient is φ = 1183703040.

The previous prime is 3629342251. The next prime is 3629342333. The reversal of 3629342268 is 8622439263.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2981596 + ... + 2982812.

It is an arithmetic number, because the mean of its divisors is an integer number (100137870).

Almost surely, 23629342268 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 3629342268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4806617760).

3629342268 is an abundant number, since it is smaller than the sum of its proper divisors (5983893252).

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

3629342268 is a wasteful number, since it uses less digits than its factorization.

3629342268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1796 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 3629342268 is about 60244.0226744529. The cubic root of 3629342268 is about 1536.7715392676.

The spelling of 3629342268 in words is "three billion, six hundred twenty-nine million, three hundred forty-two thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 477 521 636 954 1042 1217 1431 1563 1908 2084 2434 2862 3126 3651 4689 4868 5724 6252 7302 9378 10953 14067 14604 18756 21906 27613 28134 32859 43812 55226 56268 64501 65718 82839 110452 129002 131436 165678 193503 248517 258004 331356 387006 497034 580509 634057 745551 774012 994068 1161018 1268114 1491102 1741527 1902171 2322036 2536228 2982204 3483054 3804342 5706513 6966108 7608684 11413026 17119539 22826052 33605021 34239078 67210042 68478156 100815063 134420084 201630126 302445189 403260252 604890378 907335567 1209780756 1814671134 3629342268