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3370006740 = 2235337166667
BaseRepresentation
bin1100100011011110…
…0011100011010100
322200212021002011110
43020313203203110
523400210203430
61314222535020
7146340404352
oct31067434324
98625232143
103370006740
11147a30aa41
127a0737470
13419253c39
1423d8007d2
1514acd07b0
hexc8de38d4

3370006740 has 48 divisors (see below), whose sum is σ = 9464075712. Its totient is φ = 895996416.

The previous prime is 3370006723. The next prime is 3370006769. The reversal of 3370006740 is 476000733.

3370006740 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 2×33700067402 = 22713890855290855200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3370006698 and 3370006707.

It is a congruent number.

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, 63114 + ... + 103553.

It is an arithmetic number, because the mean of its divisors is an integer number (197168244).

Almost surely, 23370006740 is an apocalyptic number.

3370006740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3370006740 is an abundant number, since it is smaller than the sum of its proper divisors (6094068972).

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

3370006740 is a wasteful number, since it uses less digits than its factorization.

3370006740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167016 (or 167014 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 30.

The square root of 3370006740 is about 58051.7591464720. The cubic root of 3370006740 is about 1499.2598926653.

The spelling of 3370006740 in words is "three billion, three hundred seventy million, six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 337 674 1011 1348 1685 2022 3370 4044 5055 6740 10110 20220 166667 333334 500001 666668 833335 1000002 1666670 2000004 2500005 3333340 5000010 10000020 56166779 112333558 168500337 224667116 280833895 337000674 561667790 674001348 842501685 1123335580 1685003370 3370006740