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34460133400 = 23527112237671
BaseRepresentation
bin100000000101111110…
…111110100000011000
310021221120211011012001
4200011332332200120
51031033243232100
623455240130344
72326645205140
oct400576764030
9107846734161
1034460133400
11136839352a0
1268187669b4
1333324209a4
14194c937920
15d6a48ed6a
hex805fbe818

34460133400 has 96 divisors (see below), whose sum is σ = 99889678080. Its totient is φ = 10740816000.

The previous prime is 34460133397. The next prime is 34460133451. The reversal of 34460133400 is 433106443.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 1103436 + ... + 1134235.

It is an arithmetic number, because the mean of its divisors is an integer number (1040517480).

Almost surely, 234460133400 is an apocalyptic number.

It is an amenable number.

34460133400 is an abundant number, since it is smaller than the sum of its proper divisors (65429544680).

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

34460133400 is a wasteful number, since it uses less digits than its factorization.

34460133400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2237705 (or 2237696 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 34460133400 its reverse (433106443), we get a palindrome (34893239843).

The spelling of 34460133400 in words is "thirty-four billion, four hundred sixty million, one hundred thirty-three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 140 154 175 200 220 275 280 308 350 385 440 550 616 700 770 1100 1400 1540 1925 2200 3080 3850 7700 15400 2237671 4475342 8950684 11188355 15663697 17901368 22376710 24614381 31327394 44753420 49228762 55941775 62654788 78318485 89506840 98457524 111883550 123071905 125309576 156636970 172300667 196915048 223767100 246143810 313273940 344601334 391592425 447534200 492287620 615359525 626547880 689202668 783184850 861503335 984575240 1230719050 1378405336 1566369700 1723006670 2461438100 3132739400 3446013340 4307516675 4922876200 6892026680 8615033350 17230066700 34460133400