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31744345400 = 2352296781689
BaseRepresentation
bin11101100100000111…
…000100010100111000
310000221022120211102022
4131210013010110320
51010003023023100
622325543254012
72202440324645
oct354407042470
9100838524368
1031744345400
111250a9455a9
12619b14a308
132cbb89a041
141771d94dcc
15c5bd3be85
hex7641c4538

31744345400 has 96 divisors (see below), whose sum is σ = 77491134000. Its totient is φ = 12076753920.

The previous prime is 31744345387. The next prime is 31744345417. The reversal of 31744345400 is 454344713.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347756 + ... + 429444.

Almost surely, 231744345400 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 31744345400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38745567000).

31744345400 is an abundant number, since it is smaller than the sum of its proper divisors (45746788600).

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

31744345400 is a wasteful number, since it uses less digits than its factorization.

31744345400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81801 (or 81792 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 35.

The spelling of 31744345400 in words is "thirty-one billion, seven hundred forty-four million, three hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 67 100 116 134 145 200 232 268 290 335 536 580 670 725 1160 1340 1450 1675 1943 2680 2900 3350 3886 5800 6700 7772 9715 13400 15544 19430 38860 48575 77720 81689 97150 163378 194300 326756 388600 408445 653512 816890 1633780 2042225 2368981 3267560 4084450 4737962 5473163 8168900 9475924 10946326 11844905 16337800 18951848 21892652 23689810 27365815 43785304 47379620 54731630 59224525 94759240 109463260 118449050 136829075 158721727 218926520 236898100 273658150 317443454 473796200 547316300 634886908 793608635 1094632600 1269773816 1587217270 3174434540 3968043175 6348869080 7936086350 15872172700 31744345400