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3379142448 = 2437118779
BaseRepresentation
bin1100100101101001…
…1001111100110000
322201111110020000000
43021122121330300
523410030024243
61315150430000
7146511144153
oct31132317460
98644406000
103379142448
11148448a810
127a3802300
1341b102296
14240adbc9a
1514b9d75d3
hexc9699f30

3379142448 has 160 divisors (see below), whose sum is σ = 10713004800. Its totient is φ = 1023865920.

The previous prime is 3379142363. The next prime is 3379142483. The reversal of 3379142448 is 8442419733.

3379142448 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33791424482 = 22837207367750865408, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380523 + ... + 389301.

It is an arithmetic number, because the mean of its divisors is an integer number (66956280).

Almost surely, 23379142448 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 3379142448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356502400).

3379142448 is an abundant number, since it is smaller than the sum of its proper divisors (7333862352).

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

3379142448 is an equidigital number, since it uses as much as digits as its factorization.

3379142448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8819 (or 8795 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 3379142448 is about 58130.3917757312. The cubic root of 3379142448 is about 1500.6134450892.

The spelling of 3379142448 in words is "three billion, three hundred seventy-nine million, one hundred forty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 243 264 297 324 396 432 486 528 594 648 729 792 891 972 1188 1296 1458 1584 1782 1944 2187 2376 2673 2916 3564 3888 4374 4752 5346 5832 7128 8019 8748 8779 10692 11664 14256 16038 17496 17558 21384 24057 26337 32076 34992 35116 42768 48114 52674 64152 70232 79011 96228 96569 105348 128304 140464 158022 192456 193138 210696 237033 289707 316044 384912 386276 421392 474066 579414 632088 711099 772552 869121 948132 1158828 1264176 1422198 1545104 1738242 1896264 2133297 2317656 2607363 2844396 3476484 3792528 4266594 4635312 5214726 5688792 6399891 6952968 7822089 8533188 10429452 11377584 12799782 13905936 15644178 17066376 19199673 20858904 23466267 25599564 31288356 34132752 38399346 41717808 46932534 51199128 62576712 70398801 76798692 93865068 102398256 125153424 140797602 153597384 187730136 211196403 281595204 307194768 375460272 422392806 563190408 844785612 1126380816 1689571224 3379142448