Search a number
-
+
34612028736 = 2633126322111
BaseRepresentation
bin100000001111000010…
…011010010101000000
310022100011122020102020
4200033002122111000
51031341134404421
623522303521440
72333501250525
oct401702322500
9108304566366
1034612028736
111375165152a
12685b5b9280
133357a3449c
141964b9714c
15d78995dc6
hex80f09a540

34612028736 has 112 divisors (see below), whose sum is σ = 94895505408. Its totient is φ = 11122214400.

The previous prime is 34612028729. The next prime is 34612028741. The reversal of 34612028736 is 63782021643.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1554321 + ... + 1576431.

Almost surely, 234612028736 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 34612028736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47447752704).

34612028736 is an abundant number, since it is smaller than the sum of its proper divisors (60283476672).

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

34612028736 is a wasteful number, since it uses less digits than its factorization.

34612028736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22420 (or 22410 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 34612028736 in words is "thirty-four billion, six hundred twelve million, twenty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 263 372 496 526 744 789 992 1052 1488 1578 1984 2104 2976 3156 4208 5952 6312 8153 8416 12624 16306 16832 22111 24459 25248 32612 44222 48918 50496 65224 66333 88444 97836 130448 132666 176888 195672 260896 265332 353776 391344 521792 530664 685441 707552 782688 1061328 1370882 1415104 1565376 2056323 2122656 2741764 4112646 4245312 5483528 5815193 8225292 10967056 11630386 16450584 17445579 21934112 23260772 32901168 34891158 43868224 46521544 65802336 69782316 93043088 131604672 139564632 180270983 186086176 279129264 360541966 372172352 540812949 558258528 721083932 1081625898 1116517056 1442167864 2163251796 2884335728 4326503592 5768671456 8653007184 11537342912 17306014368 34612028736