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2334370096 = 2417192341479
BaseRepresentation
bin1000101100100011…
…1010100100110000
320000200112021202201
42023020322210300
514240044320341
61023345352544
7111563550502
oct21310724460
96020467681
102334370096
11a98766893
12551938754
132b281a2a6
14182057d72
15d9e10331
hex8b23a930

2334370096 has 160 divisors (see below), whose sum is σ = 5399654400. Its totient is φ = 969154560.

The previous prime is 2334370067. The next prime is 2334370123. The reversal of 2334370096 is 6900734332.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4873185 + ... + 4873663.

It is an arithmetic number, because the mean of its divisors is an integer number (33747840).

Almost surely, 22334370096 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 2334370096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699827200).

2334370096 is an abundant number, since it is smaller than the sum of its proper divisors (3065284304).

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

2334370096 is a wasteful number, since it uses less digits than its factorization.

2334370096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 37.

The square root of 2334370096 is about 48315.3194752969. The cubic root of 2334370096 is about 1326.5488182089.

It can be divided in two parts, 23343 and 70096, that added together give a palindrome (93439).

The spelling of 2334370096 in words is "two billion, three hundred thirty-four million, three hundred seventy thousand, ninety-six".

Divisors: 1 2 4 8 16 17 19 23 34 38 41 46 68 76 82 92 136 152 164 184 272 304 323 328 368 391 437 479 646 656 697 779 782 874 943 958 1292 1394 1558 1564 1748 1886 1916 2584 2788 3116 3128 3496 3772 3832 5168 5576 6232 6256 6992 7429 7544 7664 8143 9101 11017 11152 12464 13243 14858 15088 16031 16286 17917 18202 19639 22034 26486 29716 32062 32572 35834 36404 39278 44068 52972 59432 64124 65144 71668 72808 78556 88136 105944 118864 128248 130288 143336 145616 154717 157112 176272 187289 209323 211888 256496 286672 304589 309434 314224 333863 373141 374578 418646 451697 609178 618868 667726 746282 749156 837292 903394 1218356 1237736 1335452 1492564 1498312 1674584 1806788 2436712 2475472 2670904 2985128 2996624 3349168 3558491 3613576 4873424 5341808 5970256 6343397 7116982 7227152 7678849 8582243 12686794 14233964 15357698 17164486 25373588 28467928 30715396 34328972 50747176 56935856 61430792 68657944 101494352 122861584 137315888 145898131 291796262 583592524 1167185048 2334370096