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340370040296 = 2311135310635281
BaseRepresentation
bin1001111001111111010…
…00101010010111101000
31012112112222021120002202
410330333220222113220
521034034212242141
6420210331115332
733406454414666
oct4747750522750
91175488246082
10340370040296
11121394018070
1255b712a2b48
1326134762c10
141268c915c36
158cc18dc49b
hex4f3fa2a5e8

340370040296 has 128 divisors (see below), whose sum is σ = 764776131840. Its totient is φ = 139959705600.

The previous prime is 340370040287. The next prime is 340370040301. The reversal of 340370040296 is 692040073043.

It is a super-2 number, since 2×3403700402962 (a number of 24 digits) contains 22 as substring.

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, 64449176 + ... + 64454456.

It is an arithmetic number, because the mean of its divisors is an integer number (5974813530).

Almost surely, 2340370040296 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 340370040296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382388065920).

340370040296 is an abundant number, since it is smaller than the sum of its proper divisors (424406091544).

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

340370040296 is a wasteful number, since it uses less digits than its factorization.

340370040296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6427 (or 6423 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 38.

The spelling of 340370040296 in words is "three hundred forty billion, three hundred seventy million, forty thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 13 22 26 44 52 53 88 104 106 143 212 286 424 572 583 689 1063 1144 1166 1378 2126 2332 2756 4252 4664 5281 5512 7579 8504 10562 11693 13819 15158 21124 23386 27638 30316 42248 46772 55276 56339 58091 60632 68653 93544 110552 112678 116182 137306 152009 225356 232364 274612 279893 304018 450712 464728 549224 559786 608036 619729 732407 755183 1119572 1216072 1239458 1464814 1510366 2239144 2478916 2929628 3020732 3078823 3638609 4957832 5613703 5859256 6041464 6157646 7277218 8056477 11227406 12315292 14554436 16112954 22454812 24630584 29108872 32225908 40024699 44909624 61750733 64451816 72978139 80049398 123501466 145956278 160098796 247002932 291912556 297526259 320197592 494005864 583825112 595052518 802759529 1190105036 1605519058 2380210072 3211038116 3272788849 3867841367 6422076232 6545577698 7735682734 13091155396 15471365468 26182310792 30942730936 42546255037 85092510074 170185020148 340370040296