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340383563776 = 216432532
BaseRepresentation
bin1001111010000000111…
…00010000000000000000
31012112120220201121211101
410331000130100000000
521034101143020101
6420211533024144
733410010361024
oct4750034200000
91175526647741
10340383563776
111213a07144a3
1255b75925054
13261374b9489
1412690636384
158cc2bae401
hex4f40710000

340383563776 has 153 divisors (see below), whose sum is σ = 710360124789. Its totient is φ = 163097346048.

The previous prime is 340383563761. The next prime is 340383563783. The reversal of 340383563776 is 677365383043.

The square root of 340383563776 is 583424.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 245381529600 + 95002034176 = 495360^2 + 308224^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6422331366 + ... + 6422331418.

Almost surely, 2340383563776 is an apocalyptic number.

340383563776 is the 583424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340383563776

340383563776 is an abundant number, since it is smaller than the sum of its proper divisors (369976561013).

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

340383563776 is an frugal number, since it uses more digits than its factorization.

340383563776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 55.

The spelling of 340383563776 in words is "three hundred forty billion, three hundred eighty-three million, five hundred sixty-three thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 32 43 53 64 86 106 128 172 212 256 344 424 512 688 848 1024 1376 1696 1849 2048 2279 2752 2809 3392 3698 4096 4558 5504 5618 6784 7396 8192 9116 11008 11236 13568 14792 16384 18232 22016 22472 27136 29584 32768 36464 44032 44944 54272 59168 65536 72928 88064 89888 97997 108544 118336 120787 145856 176128 179776 195994 217088 236672 241574 291712 352256 359552 391988 434176 473344 483148 583424 704512 719104 783976 868352 946688 966296 1166848 1409024 1438208 1567952 1736704 1893376 1932592 2333696 2818048 2876416 3135904 3473408 3786752 3865184 4667392 5193841 5752832 6271808 7573504 7730368 9334784 10387682 11505664 12543616 15147008 15460736 18669568 20775364 23011328 25087232 30294016 30921472 37339136 41550728 46022656 50174464 60588032 61842944 74678272 83101456 92045312 100348928 121176064 123685888 149356544 166202912 184090624 200697856 247371776 332405824 401395712 494743552 664811648 802791424 989487104 1329623296 1605582848 1978974208 2659246592 3211165696 3957948416 5318493184 6422331392 7915896832 10636986368 21273972736 42547945472 85095890944 170191781888 340383563776