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340645630104 = 233213227995203
BaseRepresentation
bin1001111010100000000…
…11111101000010011000
31012120021011211222020200
410331100003331002120
521040120240130404
6420253534022200
733416342036553
oct4752003750230
91176234758220
10340645630104
1112151563983a
1256029647960
1326179895100
14126b737369a
158cdabc8839
hex4f500fd098

340645630104 has 72 divisors (see below), whose sum is σ = 999008854740. Its totient is φ = 104814036288.

The previous prime is 340645630069. The next prime is 340645630121. The reversal of 340645630104 is 401036546043.

340645630104 is a `hidden beast` number, since 3 + 4 + 0 + 6 + 4 + 5 + 630 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13985434 + ... + 14009769.

Almost surely, 2340645630104 is an apocalyptic number.

It is an amenable number.

340645630104 is an abundant number, since it is smaller than the sum of its proper divisors (658363224636).

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

340645630104 is a wasteful number, since it uses less digits than its factorization.

340645630104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27995241 (or 27995221 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 340645630104 in words is "three hundred forty billion, six hundred forty-five million, six hundred thirty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 4056 6084 12168 27995203 55990406 83985609 111980812 167971218 223961624 251956827 335942436 363937639 503913654 671884872 727875278 1007827308 1091812917 1455750556 2015654616 2183625834 2911501112 3275438751 4367251668 4731189307 6550877502 8734503336 9462378614 13101755004 14193567921 18924757228 26203510008 28387135842 37849514456 42580703763 56774271684 85161407526 113548543368 170322815052 340645630104