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343310450064 = 243192332636143
BaseRepresentation
bin1001111111011101110…
…01011011110110010000
31012211010220011212000020
410333232321123312100
521111044433400224
6421414210223440
733542360451141
oct4775671336620
91184126155006
10343310450064
1112266288748a
1256651b84b80
13264b29b1b5a
141288b249ac8
158de4b0ec79
hex4feee5bd90

343310450064 has 160 divisors (see below), whose sum is σ = 941288325120. Its totient is φ = 107520574464.

The previous prime is 343310450023. The next prime is 343310450101. The reversal of 343310450064 is 460054013343.

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, 55883377 + ... + 55889519.

It is an arithmetic number, because the mean of its divisors is an integer number (5883052032).

Almost surely, 2343310450064 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 343310450064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470644162560).

343310450064 is an abundant number, since it is smaller than the sum of its proper divisors (597977875056).

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

343310450064 is a wasteful number, since it uses less digits than its factorization.

343310450064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6669 (or 6663 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The spelling of 343310450064 in words is "three hundred forty-three billion, three hundred ten million, four hundred fifty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 233 263 304 456 466 526 699 789 912 932 1052 1398 1578 1864 2104 2796 3156 3728 4208 4427 4997 5592 6143 6312 8854 9994 11184 12286 12624 13281 14991 17708 18429 19988 24572 26562 29982 35416 36858 39976 49144 53124 59964 61279 70832 73716 79952 98288 106248 116717 119928 122558 147432 183837 212496 233434 239856 245116 294864 350151 367674 466868 490232 700302 735348 933736 980464 1164301 1400604 1431319 1470696 1615609 1867472 2328602 2801208 2862638 2941392 3231218 3492903 4293957 4657204 4846827 5602416 5725276 6462436 6985806 8587914 9314408 9693654 11450552 12924872 13971612 17175828 18628816 19387308 22901104 25849744 27195061 27943224 30696571 34351656 38774616 54390122 55886448 61393142 68703312 77549232 81585183 92089713 108780244 122786284 163170366 184179426 217560488 245572568 326340732 368358852 376436897 435120976 491145136 652681464 736717704 752873794 1129310691 1305362928 1473435408 1505747588 2258621382 3011495176 4517242764 6022990352 7152301043 9034485528 14304602086 18068971056 21456903129 28609204172 42913806258 57218408344 85827612516 114436816688 171655225032 343310450064