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3340307254440 = 2335139112350409
BaseRepresentation
bin110000100110111001110…
…100111100110010101000
3102211022220202101222112210
4300212321310330302220
5414211422124120230
611034303241005120
7463220633122662
oct60467164746250
912738822358483
103340307254440
1110786863aa902
1245b45a1837a0
131b2cb327bb10
14b7959347532
155bd5087ceb0
hex309b9d3cca8

3340307254440 has 128 divisors (see below), whose sum is σ = 10803612556800. Its totient is φ = 821326571520.

The previous prime is 3340307254429. The next prime is 3340307254483. The reversal of 3340307254440 is 444527030433.

3340307254440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33403072544402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 245956 + ... + 2596364.

It is an arithmetic number, because the mean of its divisors is an integer number (84403223100).

Almost surely, 23340307254440 is an apocalyptic number.

3340307254440 is a gapful number since it is divisible by the number (30) 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 3340307254440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5401806278400).

3340307254440 is an abundant number, since it is smaller than the sum of its proper divisors (7463305302360).

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

3340307254440 is a wasteful number, since it uses less digits than its factorization.

3340307254440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351347 (or 2351343 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 39.

The spelling of 3340307254440 in words is "three trillion, three hundred forty billion, three hundred seven million, two hundred fifty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 911 1560 1822 2733 3644 4555 5466 7288 9110 10932 11843 13665 18220 21864 23686 27330 35529 36440 47372 54660 59215 71058 94744 109320 118430 142116 177645 236860 284232 355290 473720 710580 1421160 2350409 4700818 7051227 9401636 11752045 14102454 18803272 23504090 28204908 30555317 35256135 47008180 56409816 61110634 70512270 91665951 94016360 122221268 141024540 152776585 183331902 244442536 282049080 305553170 366663804 458329755 611106340 733327608 916659510 1222212680 1833319020 2141222599 3666638040 4282445198 6423667797 8564890396 10706112995 12847335594 17129780792 21412225990 25694671188 27835893787 32118338985 42824451980 51389342376 55671787574 64236677970 83507681361 85648903960 111343575148 128473355940 139179468935 167015362722 222687150296 256946711880 278358937870 334030725444 417538406805 556717875740 668061450888 835076813610 1113435751480 1670153627220 3340307254440