Search a number
-
+
3402555336 = 233467109719
BaseRepresentation
bin1100101011001110…
…1101111111001000
322210010111201110000
43022303231333020
523432023232321
61321344323000
7150214146255
oct31263557710
98703451400
103402555336
111496721204
127ab613460
13422c0bc6b
14243c7442c
1514daae826
hexcacedfc8

3402555336 has 160 divisors (see below), whose sum is σ = 9774864000. Its totient is φ = 1105467264.

The previous prime is 3402555323. The next prime is 3402555337. The reversal of 3402555336 is 6335552043.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3402555336.

It is not an unprimeable number, because it can be changed into a prime (3402555337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4731985 + ... + 4732703.

It is an arithmetic number, because the mean of its divisors is an integer number (61092900).

Almost surely, 23402555336 is an apocalyptic number.

3402555336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3402555336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4887432000).

3402555336 is an abundant number, since it is smaller than the sum of its proper divisors (6372308664).

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

3402555336 is a wasteful number, since it uses less digits than its factorization.

3402555336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

The square root of 3402555336 is about 58331.4266583632. The cubic root of 3402555336 is about 1504.0712121574.

The spelling of 3402555336 in words is "three billion, four hundred two million, five hundred fifty-five thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 81 108 109 134 162 201 216 218 268 324 327 402 436 536 603 648 654 719 804 872 981 1206 1308 1438 1608 1809 1962 2157 2412 2616 2876 2943 3618 3924 4314 4824 5427 5752 5886 6471 7236 7303 7848 8628 8829 10854 11772 12942 14472 14606 17256 17658 19413 21708 21909 23544 25884 29212 35316 38826 43416 43818 48173 51768 58239 58424 65727 70632 77652 78371 87636 96346 116478 131454 144519 155304 156742 175272 192692 197181 232956 235113 262908 289038 313484 385384 394362 433557 465912 470226 525816 578076 591543 626968 705339 788724 867114 940452 1156152 1183086 1300671 1410678 1577448 1734228 1880904 2116017 2366172 2601342 2821356 3468456 3902013 4232034 4732344 5202684 5250857 5642712 6348051 7804026 8464068 10405368 10501714 12696102 15608052 15752571 16928136 21003428 25392204 31216104 31505142 42006856 47257713 50784408 63010284 94515426 126020568 141773139 189030852 283546278 378061704 425319417 567092556 850638834 1134185112 1701277668 3402555336