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1670114376 = 23347536947
BaseRepresentation
bin110001110001011…
…1110110001001000
311022101121121020000
41203202332301020
511410022130001
6433420203000
756246511060
oct14342766110
94271547200
101670114376
11787810717
123a7399460
13208014678
1411bb463a0
159b94da86
hex638bec48

1670114376 has 160 divisors (see below), whose sum is σ = 5447787840. Its totient is φ = 468104832.

The previous prime is 1670114371. The next prime is 1670114419. The reversal of 1670114376 is 6734110761.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1670114376.

It is not an unprimeable number, because it can be changed into a prime (1670114371) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 236935 + ... + 243881.

It is an arithmetic number, because the mean of its divisors is an integer number (34048674).

Almost surely, 21670114376 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 1670114376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2723893920).

1670114376 is an abundant number, since it is smaller than the sum of its proper divisors (3777673464).

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

1670114376 is a wasteful number, since it uses less digits than its factorization.

1670114376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7025 (or 7012 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 1670114376 is about 40867.0328749225. The cubic root of 1670114376 is about 1186.4480806969.

The spelling of 1670114376 in words is "one billion, six hundred seventy million, one hundred fourteen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 53 54 56 63 72 81 84 106 108 126 159 162 168 189 212 216 252 318 324 371 378 424 477 504 567 636 648 742 756 954 1113 1134 1272 1431 1484 1512 1908 2226 2268 2862 2968 3339 3816 4293 4452 4536 5724 6678 6947 8586 8904 10017 11448 13356 13894 17172 20034 20841 26712 27788 30051 34344 40068 41682 48629 55576 60102 62523 80136 83364 97258 120204 125046 145887 166728 187569 194516 240408 250092 291774 368191 375138 389032 437661 500184 562707 583548 736382 750276 875322 1104573 1125414 1167096 1312983 1472764 1500552 1750644 2209146 2250828 2577337 2625966 2945528 3313719 3501288 3938949 4418292 4501656 5154674 5251932 6627438 7732011 7877898 8836584 9941157 10309348 10503864 13254876 15464022 15755796 19882314 20618696 23196033 26509752 29823471 30928044 31511592 39764628 46392066 59646942 61856088 69588099 79529256 92784132 119293884 139176198 185568264 208764297 238587768 278352396 417528594 556704792 835057188 1670114376