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340410376904 = 231373154329059
BaseRepresentation
bin1001111010000100000…
…10100010001011001000
31012112122210011212112012
410331002002202023020
521034130024030104
6420214331435052
733410454314303
oct4750202421310
91175583155465
10340410376904
11121404868604
1255b828b5a88
132613cc16a30
1412694015b3a
158cc5208d6e
hex4f420a22c8

340410376904 has 64 divisors (see below), whose sum is σ = 697258665600. Its totient is φ = 154854498816.

The previous prime is 340410376903. The next prime is 340410376967. The reversal of 340410376904 is 409673014043.

It is a super-3 number, since 3×3404103769043 (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (340410376903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11699927 + ... + 11728985.

It is an arithmetic number, because the mean of its divisors is an integer number (10894666650).

Almost surely, 2340410376904 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 340410376904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348629332800).

340410376904 is an abundant number, since it is smaller than the sum of its proper divisors (356848288696).

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

340410376904 is a wasteful number, since it uses less digits than its factorization.

340410376904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30694 (or 30690 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 41.

The spelling of 340410376904 in words is "three hundred forty billion, four hundred ten million, three hundred seventy-six thousand, nine hundred four".

Divisors: 1 2 4 8 13 26 52 73 104 146 292 584 949 1543 1898 3086 3796 6172 7592 12344 20059 29059 40118 58118 80236 112639 116236 160472 225278 232472 377767 450556 755534 901112 1464307 1511068 2121307 2928614 3022136 4242614 5857228 8485228 11714456 16970456 27576991 44838037 55153982 89676074 110307964 179352148 220615928 358704296 582894481 1165788962 2331577924 3273176701 4663155848 6546353402 13092706804 26185413608 42551297113 85102594226 170205188452 340410376904