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3370048656 = 2431319327983
BaseRepresentation
bin1100100011011110…
…1101110010010000
322200212100012122220
43020313231302100
523400213024111
61314223501040
7146340640512
oct31067556220
98625305586
103370048656
11147a339487
127a0757780
1341926a040
1423d811bb2
1514acdce06
hexc8dedc90

3370048656 has 80 divisors (see below), whose sum is σ = 9424563456. Its totient is φ = 1031528448.

The previous prime is 3370048637. The next prime is 3370048667. The reversal of 3370048656 is 6568400733.

3370048656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33700486562 = 22714455887614812672, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106441 + ... + 134423.

Almost surely, 23370048656 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 3370048656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4712281728).

3370048656 is an abundant number, since it is smaller than the sum of its proper divisors (6054514800).

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

3370048656 is a wasteful number, since it uses less digits than its factorization.

3370048656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28200 (or 28194 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 3370048656 is about 58052.1201680008. The cubic root of 3370048656 is about 1499.2661085497.

The spelling of 3370048656 in words is "three billion, three hundred seventy million, forty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 193 208 312 386 579 624 772 1158 1544 2316 2509 3088 4632 5018 7527 9264 10036 15054 20072 27983 30108 40144 55966 60216 83949 111932 120432 167898 223864 335796 363779 447728 671592 727558 1091337 1343184 1455116 2182674 2910232 4365348 5400719 5820464 8730696 10801438 16202157 17461392 21602876 32404314 43205752 64808628 70209347 86411504 129617256 140418694 210628041 259234512 280837388 421256082 561674776 842512164 1123349552 1685024328 3370048656