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3628134640 = 245133488591
BaseRepresentation
bin1101100001000000…
…1111000011110000
3100100211222100002001
43120100033003300
524412300302030
61400003303344
7155623431004
oct33020170360
910324870061
103628134640
1115a1a95289
1285307ab54
1345a881040
14265bd4704
151637bccca
hexd840f0f0

3628134640 has 40 divisors (see below), whose sum is σ = 9084293568. Its totient is φ = 1339618560.

The previous prime is 3628134617. The next prime is 3628134667. The reversal of 3628134640 is 464318263.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 3628134640.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 1743256 + ... + 1745335.

Almost surely, 23628134640 is an apocalyptic number.

It is an amenable number.

3628134640 is an abundant number, since it is smaller than the sum of its proper divisors (5456158928).

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

3628134640 is a wasteful number, since it uses less digits than its factorization.

3628134640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3488617 (or 3488611 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The square root of 3628134640 is about 60233.9990370887. Note that the first 3 decimals coincide. The cubic root of 3628134640 is about 1536.6010718128.

The spelling of 3628134640 in words is "three billion, six hundred twenty-eight million, one hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 3488591 6977182 13954364 17442955 27908728 34885910 45351683 55817456 69771820 90703366 139543640 181406732 226758415 279087280 362813464 453516830 725626928 907033660 1814067320 3628134640