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3375037656 = 23321073071427
BaseRepresentation
bin1100100100101010…
…1111110011011000
322201012201200021200
43021022233303120
523403002201111
61314522434200
7146431226634
oct31112576330
98635650250
103375037656
111482136821
127a2362960
1341a2c5b03
1424034ddc4
1514b476256
hexc92afcd8

3375037656 has 96 divisors (see below), whose sum is σ = 9262693440. Its totient is φ = 1110089664.

The previous prime is 3375037651. The next prime is 3375037657. The reversal of 3375037656 is 6567305733.

It is a super-3 number, since 3×33750376563 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3375037651) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2364415 + ... + 2365841.

It is an arithmetic number, because the mean of its divisors is an integer number (96486390).

Almost surely, 23375037656 is an apocalyptic number.

3375037656 is a gapful number since it is divisible by the number (36) 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 3375037656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4631346720).

3375037656 is an abundant number, since it is smaller than the sum of its proper divisors (5887655784).

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

3375037656 is a wasteful number, since it uses less digits than its factorization.

3375037656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 1190700, while the sum is 45.

The square root of 3375037656 is about 58095.0742834537. The cubic root of 3375037656 is about 1500.0055786459.

The spelling of 3375037656 in words is "three billion, three hundred seventy-five million, thirty-seven thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 307 321 428 614 642 856 921 963 1228 1284 1427 1842 1926 2456 2568 2763 2854 3684 3852 4281 5526 5708 7368 7704 8562 11052 11416 12843 17124 22104 25686 32849 34248 51372 65698 98547 102744 131396 152689 197094 262792 295641 305378 394188 438089 458067 591282 610756 788376 876178 916134 1182564 1221512 1314267 1374201 1752356 1832268 2365128 2628534 2748402 3504712 3664536 3942801 5257068 5496804 7885602 10514136 10993608 15771204 31542408 46875523 93751046 140626569 187502092 281253138 375004184 421879707 562506276 843759414 1125012552 1687518828 3375037656