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3370740032 = 261135913337
BaseRepresentation
bin1100100011101001…
…0110100101000000
322200220122100001102
43020322112211000
523400402140112
61314250353532
7146346550262
oct31072264500
98626570042
103370740032
11147a770970
127a0a2b8a8
1341944c93a
1423d951b32
1514adc7bc2
hexc8e96940

3370740032 has 56 divisors (see below), whose sum is σ = 7317760320. Its totient is φ = 1527772160.

The previous prime is 3370739989. The next prime is 3370740073. The reversal of 3370740032 is 2300470733.

It is a super-2 number, since 2×33707400322 = 22723776726654722048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3370739977 and 3370740004.

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, 246068 + ... + 259404.

Almost surely, 23370740032 is an apocalyptic number.

3370740032 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 3370740032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3658880160).

3370740032 is an abundant number, since it is smaller than the sum of its proper divisors (3947020288).

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

3370740032 is a wasteful number, since it uses less digits than its factorization.

3370740032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13719 (or 13709 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 29.

The square root of 3370740032 is about 58058.0746494405. The cubic root of 3370740032 is about 1499.3686279131.

The spelling of 3370740032 in words is "three billion, three hundred seventy million, seven hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 359 704 718 1436 2872 3949 5744 7898 11488 13337 15796 22976 26674 31592 53348 63184 106696 126368 146707 213392 252736 293414 426784 586828 853568 1173656 2347312 4694624 4787983 9389248 9575966 19151932 38303864 52667813 76607728 105335626 153215456 210671252 306430912 421342504 842685008 1685370016 3370740032