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1340166450 = 235278914341
BaseRepresentation
bin100111111100001…
…0101000100110010
310110101202111202110
41033320111010302
510221040311300
6340552230150
745132140550
oct11770250462
93411674673
101340166450
11628541987
1231499b356
1318485c4cc
14c9db8bd0
157c9c6550
hex4fe15132

1340166450 has 96 divisors (see below), whose sum is σ = 3841361280. Its totient is φ = 302860800.

The previous prime is 1340166437. The next prime is 1340166479. The reversal of 1340166450 is 546610431.

It is a super-2 number, since 2×13401664502 = 3592092227411205000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86280 + ... + 100620.

It is an arithmetic number, because the mean of its divisors is an integer number (40014180).

Almost surely, 21340166450 is an apocalyptic number.

1340166450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340166450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920680640).

1340166450 is an abundant number, since it is smaller than the sum of its proper divisors (2501194830).

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

1340166450 is a wasteful number, since it uses less digits than its factorization.

1340166450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14452 (or 14447 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1340166450 is about 36608.2838985932. The cubic root of 1340166450 is about 1102.5194180073.

Adding to 1340166450 its reverse (546610431), we get a palindrome (1886776881).

The spelling of 1340166450 in words is "one billion, three hundred forty million, one hundred sixty-six thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 89 105 150 175 178 210 267 350 445 525 534 623 890 1050 1246 1335 1869 2225 2670 3115 3738 4450 6230 6675 9345 13350 14341 15575 18690 28682 31150 43023 46725 71705 86046 93450 100387 143410 200774 215115 301161 358525 430230 501935 602322 717050 1003870 1075575 1276349 1505805 2151150 2509675 2552698 3011610 3829047 5019350 6381745 7529025 7658094 8934443 12763490 15058050 17868886 19145235 26803329 31908725 38290470 44672215 53606658 63817450 89344430 95726175 134016645 191452350 223361075 268033290 446722150 670083225 1340166450