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34642256440 = 2351135312277
BaseRepresentation
bin100000010000110101…
…101110001000111000
310022102021111222000211
4200100311232020320
51031421404201230
623525303440504
72334316215121
oct402065561070
9108367458024
1034642256440
1113767718000
126869756134
133361088cbc
141968bc5048
15d7b46742a
hex810d6e238

34642256440 has 128 divisors (see below), whose sum is σ = 87358461120. Its totient is φ = 12358494720.

The previous prime is 34642256431. The next prime is 34642256491. The reversal of 34642256440 is 4465224643.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 34642256393 and 34642256402.

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, 2815582 + ... + 2827858.

Almost surely, 234642256440 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 34642256440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43679230560).

34642256440 is an abundant number, since it is smaller than the sum of its proper divisors (52716204680).

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

34642256440 is a wasteful number, since it uses less digits than its factorization.

34642256440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12374 (or 12348 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 40.

The spelling of 34642256440 in words is "thirty-four billion, six hundred forty-two million, two hundred fifty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 53 55 88 106 110 121 212 220 242 265 424 440 484 530 583 605 968 1060 1166 1210 1331 2120 2332 2420 2662 2915 4664 4840 5324 5830 6413 6655 10648 11660 12277 12826 13310 23320 24554 25652 26620 32065 49108 51304 53240 61385 64130 70543 98216 122770 128260 135047 141086 245540 256520 270094 282172 352715 491080 540188 564344 650681 675235 705430 1080376 1301362 1350470 1410860 1485517 2602724 2700940 2821720 2971034 3253405 5205448 5401880 5942068 6506810 7157491 7427585 11884136 13013620 14314982 14855170 16340687 26027240 28629964 29710340 32681374 35787455 57259928 59420680 65362748 71574910 78732401 81703435 130725496 143149820 157464802 163406870 286299640 314929604 326813740 393662005 629859208 653627480 787324010 866056411 1574648020 1732112822 3149296040 3464225644 4330282055 6928451288 8660564110 17321128220 34642256440