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3356371840 = 275291391301
BaseRepresentation
bin1100100000001110…
…0010101110000000
322122220121100121011
43020003202232000
523333212344330
61313014410304
7146113455433
oct31003425600
98586540534
103356371840
111472647928
12798060994
1341648ba53
1423ba9181a
151499da82a
hexc80e2b80

3356371840 has 128 divisors (see below), whose sum is σ = 8366652000. Its totient is φ = 1285939200.

The previous prime is 3356371783. The next prime is 3356371841. The reversal of 3356371840 is 481736533.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×33563718402 = 22530463856689971200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3356371793 and 3356371802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3356371841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2579190 + ... + 2580490.

Almost surely, 23356371840 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 3356371840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4183326000).

3356371840 is an abundant number, since it is smaller than the sum of its proper divisors (5010280160).

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

3356371840 is a wasteful number, since it uses less digits than its factorization.

3356371840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The square root of 3356371840 is about 57934.2026785560. The cubic root of 3356371840 is about 1497.2351795690.

The spelling of 3356371840 in words is "three billion, three hundred fifty-six million, three hundred seventy-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 139 145 160 232 278 290 320 464 556 580 640 695 928 1112 1160 1301 1390 1856 2224 2320 2602 2780 3712 4031 4448 4640 5204 5560 6505 8062 8896 9280 10408 11120 13010 16124 17792 18560 20155 20816 22240 26020 32248 37729 40310 41632 44480 52040 64496 75458 80620 83264 88960 104080 128992 150916 161240 166528 180839 188645 208160 257984 301832 322480 361678 377290 416320 515968 603664 644960 723356 754580 832640 904195 1207328 1289920 1446712 1509160 1808390 2414656 2579840 2893424 3018320 3616780 4829312 5244331 5786848 6036640 7233560 10488662 11573696 12073280 14467120 20977324 23147392 24146560 26221655 28934240 41954648 52443310 57868480 83909296 104886620 115736960 167818592 209773240 335637184 419546480 671274368 839092960 1678185920 3356371840