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346456554052 = 227431133796719
BaseRepresentation
bin1010000101010100110…
…10110111101001000100
31020010021011010111100011
411002222122313221010
521134020334212202
6423054314200004
734013342056030
oct5025232675104
91203234114304
10346456554052
11123a27768a24
125718b723004
132689472cb4b
1412aa90051c0
15902ae13bd7
hex50aa6b7a44

346456554052 has 96 divisors (see below), whose sum is σ = 717296025600. Its totient is φ = 143344276992.

The previous prime is 346456554007. The next prime is 346456554071. The reversal of 346456554052 is 250455654643.

It is a junction number, because it is equal to n+sod(n) for n = 346456553987 and 346456554005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51560349 + ... + 51567067.

It is an arithmetic number, because the mean of its divisors is an integer number (7471833600).

Almost surely, 2346456554052 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 346456554052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358648012800).

346456554052 is an abundant number, since it is smaller than the sum of its proper divisors (370839471548).

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

346456554052 is a wasteful number, since it uses less digits than its factorization.

346456554052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7265 (or 7263 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 49.

The spelling of 346456554052 in words is "three hundred forty-six billion, four hundred fifty-six million, five hundred fifty-four thousand, fifty-two".

Divisors: 1 2 4 7 14 28 43 86 113 172 226 301 379 452 602 758 791 1204 1516 1582 2653 3164 4859 5306 6719 9718 10612 13438 16297 19436 26876 32594 34013 42827 47033 65188 68026 85654 94066 114079 136052 171308 188132 228158 288917 299789 456316 577834 599578 759247 1155668 1199156 1518494 1841561 2022419 2546501 3036988 3683122 4044838 5093002 5314729 7366244 8089676 10186004 10629458 12890927 17825507 21258916 25781854 32647621 35651014 51563708 65295242 71302028 109499543 130590484 218999086 228533347 287754613 437998172 457066694 575509226 766496801 914133388 1151018452 1532993602 2014282291 3065987204 4028564582 8057129164 12373448359 24746896718 49493793436 86614138513 173228277026 346456554052