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3703384672 = 251313167957
BaseRepresentation
bin1101110010111101…
…0010101001100000
3100120002120102201021
43130233102221200
530041031302142
61411252215224
7160526151601
oct33457225140
910502512637
103703384672
111630511799
1287430a514
1347033a3a0
14271bc1da8
1516a1d4267
hexdcbd2a60

3703384672 has 48 divisors (see below), whose sum is σ = 7911942192. Its totient is φ = 1696181760.

The previous prime is 3703384621. The next prime is 3703384687. The reversal of 3703384672 is 2764833073.

3703384672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20518 + ... + 88474.

It is an arithmetic number, because the mean of its divisors is an integer number (164832129).

Almost surely, 23703384672 is an apocalyptic number.

3703384672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3703384672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3955971096).

3703384672 is an abundant number, since it is smaller than the sum of its proper divisors (4208557520).

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

3703384672 is a wasteful number, since it uses less digits than its factorization.

3703384672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68111 (or 68103 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 43.

The square root of 3703384672 is about 60855.4407756611. The cubic root of 3703384672 is about 1547.1518521755.

The spelling of 3703384672 in words is "three billion, seven hundred three million, three hundred eighty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 131 208 262 416 524 1048 1703 2096 3406 4192 6812 13624 27248 54496 67957 135914 271828 543656 883441 1087312 1766882 2174624 3533764 7067528 8902367 14135056 17804734 28270112 35609468 71218936 115730771 142437872 231461542 284875744 462923084 925846168 1851692336 3703384672