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3379379616 = 2535716121
BaseRepresentation
bin1100100101101101…
…0011110110100000
322201111220021100000
43021123103312200
523410110121431
61315155500000
7146513152464
oct31133236640
98644807300
103379379616
111484631a18
127a38b7600
1341b186212
14240b604a4
1514ba329e6
hexc96d3da0

3379379616 has 144 divisors (see below), whose sum is σ = 10108058688. Its totient is φ = 1110412800.

The previous prime is 3379379579. The next prime is 3379379659. The reversal of 3379379616 is 6169739733.

3379379616 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 tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×33793796162 = 22840413178072614912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 549036 + ... + 555156.

It is an arithmetic number, because the mean of its divisors is an integer number (70194852).

Almost surely, 23379379616 is an apocalyptic number.

3379379616 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 3379379616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5054029344).

3379379616 is an abundant number, since it is smaller than the sum of its proper divisors (6728679072).

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

3379379616 is an equidigital number, since it uses as much as digits as its factorization.

3379379616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6217 (or 6197 counting only the distinct ones).

The product of its digits is 3857868, while the sum is 54.

The square root of 3379379616 is about 58132.4317055463. The cubic root of 3379379616 is about 1500.6485515468.

The spelling of 3379379616 in words is "three billion, three hundred seventy-nine million, three hundred seventy-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 81 96 108 142 144 162 213 216 243 284 288 324 426 432 486 568 639 648 852 864 972 1136 1278 1296 1704 1917 1944 2272 2556 2592 3408 3834 3888 5112 5751 6121 6816 7668 7776 10224 11502 12242 15336 17253 18363 20448 23004 24484 30672 34506 36726 46008 48968 55089 61344 69012 73452 92016 97936 110178 138024 146904 165267 184032 195872 220356 276048 293808 330534 434591 440712 495801 552096 587616 661068 869182 881424 991602 1303773 1322136 1487403 1738364 1762848 1983204 2607546 2644272 2974806 3476728 3911319 3966408 5215092 5288544 5949612 6953456 7822638 7932816 10430184 11733957 11899224 13906912 15645276 15865632 20860368 23467914 23798448 31290552 35201871 41720736 46935828 47596896 62581104 70403742 93871656 105605613 125162208 140807484 187743312 211211226 281614968 375486624 422422452 563229936 844844904 1126459872 1689689808 3379379616