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34311244440 = 23351129896323
BaseRepresentation
bin11111111101000111…
…000000101010011000
310021120012122210221010
4133331013000222120
51030232134310230
623432401013520
72323156523424
oct377507005230
9107505583833
1034311244440
1113607891870
1267969242a0
13330a620705
141936c5bb84
15d5c37e9b0
hex7fd1c0a98

34311244440 has 128 divisors (see below), whose sum is σ = 116163590400. Its totient is φ = 8031045120.

The previous prime is 34311244439. The next prime is 34311244481. The reversal of 34311244440 is 4444211343.

It is a super-2 number, since 2×343112444402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34311244398 and 34311244407.

It is a congruent number.

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, 409882 + ... + 486441.

It is an arithmetic number, because the mean of its divisors is an integer number (907528050).

Almost surely, 234311244440 is an apocalyptic number.

34311244440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34311244440 is an abundant number, since it is smaller than the sum of its proper divisors (81852345960).

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

34311244440 is a wasteful number, since it uses less digits than its factorization.

34311244440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896377 (or 896373 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 34311244440 its reverse (4444211343), we get a palindrome (38755455783).

The spelling of 34311244440 in words is "thirty-four billion, three hundred eleven million, two hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 29 30 33 40 44 55 58 60 66 87 88 110 116 120 132 145 165 174 220 232 264 290 319 330 348 435 440 580 638 660 696 870 957 1160 1276 1320 1595 1740 1914 2552 3190 3480 3828 4785 6380 7656 9570 12760 19140 38280 896323 1792646 2688969 3585292 4481615 5377938 7170584 8963230 9859553 10755876 13444845 17926460 19719106 21511752 25993367 26889690 29578659 35852920 39438212 49297765 51986734 53779380 59157318 77980101 78876424 98595530 103973468 107558760 118314636 129966835 147893295 155960202 197191060 207946936 236629272 259933670 285927037 295786590 311920404 389900505 394382120 519867340 571854074 591573180 623840808 779801010 857781111 1039734680 1143708148 1183146360 1429635185 1559602020 1715562222 2287416296 2859270370 3119204040 3431124444 4288905555 5718540740 6862248888 8577811110 11437081480 17155622220 34311244440