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3370340328 = 23323291731217
BaseRepresentation
bin1100100011100011…
…0100111111101000
322200212220000202120
43020320310333220
523400301342303
61314234031240
7146343264045
oct31070647750
98625800676
103370340328
11147a518633
127a0878520
1341933ca24
1423d88a1cc
1514ad49553
hexc8e34fe8

3370340328 has 128 divisors (see below), whose sum is σ = 9155462400. Its totient is φ = 1030701056.

The previous prime is 3370340297. The next prime is 3370340371. The reversal of 3370340328 is 8230430733.

It is a super-2 number, since 2×33703403282 = 22718387853086295168, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2768776 + ... + 2769992.

It is an arithmetic number, because the mean of its divisors is an integer number (71527050).

Almost surely, 23370340328 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 3370340328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4577731200).

3370340328 is an abundant number, since it is smaller than the sum of its proper divisors (5785122072).

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

3370340328 is a wasteful number, since it uses less digits than its factorization.

3370340328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

The square root of 3370340328 is about 58054.6322699576. The cubic root of 3370340328 is about 1499.3093602822.

The spelling of 3370340328 in words is "three billion, three hundred seventy million, three hundred forty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 29 46 58 69 87 92 116 138 173 174 184 232 276 346 348 519 552 667 692 696 1038 1217 1334 1384 2001 2076 2434 2668 3651 3979 4002 4152 4868 5017 5336 7302 7958 8004 9736 10034 11937 14604 15051 15916 16008 20068 23874 27991 29208 30102 31832 35293 40136 47748 55982 60204 70586 83973 95496 105879 111964 115391 120408 141172 167946 210541 211758 223928 230782 282344 335892 346173 421082 423516 461564 631623 671784 692346 811739 842164 847032 923128 1263246 1384692 1623478 1684328 2435217 2526492 2769384 3246956 4842443 4870434 5052984 6105689 6493912 9684886 9740868 12211378 14527329 18317067 19369772 19481736 24422756 29054658 36634134 38739544 48845512 58109316 73268268 116218632 140430847 146536536 280861694 421292541 561723388 842585082 1123446776 1685170164 3370340328