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1340337674376 = 233415311351027
BaseRepresentation
bin10011100000010010010…
…110011101100010001000
311202010122102210121220000
4103200102112131202020
5133430002421040001
62503424224003000
7165556550152521
oct23402226354210
94663572717800
101340337674376
11477485746a68
12197924460460
139951610890c
1448c30935848
1524cea3ada86
hex1381259d888

1340337674376 has 80 divisors (see below), whose sum is σ = 3756641436240. Its totient is φ = 446487072480.

The previous prime is 1340337674371. The next prime is 1340337674407. The reversal of 1340337674376 is 6734767330431.

1340337674376 is a `hidden beast` number, since 134 + 0 + 3 + 3 + 76 + 7 + 437 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1340337674371) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 316575 + ... + 1667601.

It is an arithmetic number, because the mean of its divisors is an integer number (46958017953).

Almost surely, 21340337674376 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 1340337674376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878320718120).

1340337674376 is an abundant number, since it is smaller than the sum of its proper divisors (2416303761864).

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

1340337674376 is a wasteful number, since it uses less digits than its factorization.

1340337674376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352576 (or 1352563 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 54.

The spelling of 1340337674376 in words is "one trillion, three hundred forty billion, three hundred thirty-seven million, six hundred seventy-four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1531 3062 4593 6124 9186 12248 13779 18372 27558 36744 41337 55116 82674 110232 124011 165348 248022 330696 496044 992088 1351027 2702054 4053081 5404108 8106162 10808216 12159243 16212324 24318486 32424648 36477729 48636972 72955458 97273944 109433187 145910916 218866374 291821832 437732748 875465496 2068422337 4136844674 6205267011 8273689348 12410534022 16547378696 18615801033 24821068044 37231602066 49642136088 55847403099 74463204132 111694806198 148926408264 167542209297 223389612396 335084418594 446779224792 670168837188 1340337674376