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3397667742 = 233721923557
BaseRepresentation
bin1100101010000100…
…0100101110011110
322202210022101221000
43022201010232132
523424300331432
61321051451130
7150124461600
oct31241045636
98683271830
103397667742
111493993077
127a9a56aa6
13421bba3b1
14243361170
1514d44657c
hexca844b9e

3397667742 has 144 divisors (see below), whose sum is σ = 9272290320. Its totient is φ = 919410912.

The previous prime is 3397667687. The next prime is 3397667771. The reversal of 3397667742 is 2477667933.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 953428 + ... + 956984.

It is an arithmetic number, because the mean of its divisors is an integer number (64390905).

Almost surely, 23397667742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3397667742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4636145160).

3397667742 is an abundant number, since it is smaller than the sum of its proper divisors (5874622578).

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

3397667742 is a wasteful number, since it uses less digits than its factorization.

3397667742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620 (or 3588 counting only the distinct ones).

The product of its digits is 8001504, while the sum is 54.

The square root of 3397667742 is about 58289.5165703062. The cubic root of 3397667742 is about 1503.3506936615.

The spelling of 3397667742 in words is "three billion, three hundred ninety-seven million, six hundred sixty-seven thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 49 54 57 63 98 114 126 133 147 171 189 266 294 342 361 378 399 441 513 722 798 882 931 1026 1083 1197 1323 1862 2166 2394 2527 2646 2793 3249 3557 3591 5054 5586 6498 7114 7182 7581 8379 9747 10671 15162 16758 17689 19494 21342 22743 24899 25137 32013 35378 45486 49798 50274 53067 64026 67583 68229 74697 96039 106134 135166 136458 149394 159201 174293 192078 202749 224091 318402 348586 405498 448182 473081 477603 522879 608247 672273 946162 955206 1045758 1216494 1284077 1344546 1419243 1568637 1824741 2568154 2838486 3137274 3311567 3649482 3852231 4257729 4705911 6623134 7704462 8515458 8988539 9411822 9934701 11556693 12773187 17977078 19869402 23113386 25546374 26965617 29804103 34670079 53931234 59608206 62919773 69340158 80896851 89412309 125839546 161793702 178824618 188759319 242690553 377518638 485381106 566277957 1132555914 1698833871 3397667742