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34211031040 = 21155715851
BaseRepresentation
bin11111110111001000…
…101110100000000000
310021022020002102222201
4133313020232200000
51030031010443130
623414421042544
72320531652164
oct376710564000
9107266072881
1034211031040
1113566264a7a
126769256454
1332c2933a44
141927812ca4
15d53686bca
hex7f722e800

34211031040 has 96 divisors (see below), whose sum is σ = 82244242080. Its totient is φ = 13658112000.

The previous prime is 34211031037. The next prime is 34211031067. The reversal of 34211031040 is 4013011243.

It is a junction number, because it is equal to n+sod(n) for n = 34211030999 and 34211031017.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5844115 + ... + 5849965.

It is an arithmetic number, because the mean of its divisors is an integer number (856710855).

Almost surely, 234211031040 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 34211031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41122121040).

34211031040 is an abundant number, since it is smaller than the sum of its proper divisors (48033211040).

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

34211031040 is an equidigital number, since it uses as much as digits as its factorization.

34211031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6449 (or 6429 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 34211031040 its reverse (4013011243), we get a palindrome (38224042283).

The spelling of 34211031040 in words is "thirty-four billion, two hundred eleven million, thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 571 640 1024 1142 1280 2048 2284 2560 2855 4568 5120 5710 5851 9136 10240 11420 11702 18272 22840 23404 29255 36544 45680 46808 58510 73088 91360 93616 117020 146176 182720 187232 234040 292352 365440 374464 468080 584704 730880 748928 936160 1169408 1461760 1497856 1872320 2923520 2995712 3340921 3744640 5847040 5991424 6681842 7489280 11982848 13363684 14978560 16704605 26727368 29957120 33409210 53454736 59914240 66818420 106909472 133636840 213818944 267273680 427637888 534547360 855275776 1069094720 1710551552 2138189440 3421103104 4276378880 6842206208 8552757760 17105515520 34211031040