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3440426948 = 227295379943
BaseRepresentation
bin1100110100010000…
…1011111111000100
322212202202210112022
43031010023333010
524021222130243
61325220142312
7151154101160
oct31504137704
98782683468
103440426948
111506038762
12800237998
1342aa0baba
14248cd1ca0
15152090b68
hexcd10bfc4

3440426948 has 48 divisors (see below), whose sum is σ = 7252519680. Its totient is φ = 1396746624.

The previous prime is 3440426921. The next prime is 3440426971. The reversal of 3440426948 is 8496240443.

3440426948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3440426899 and 3440426908.

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, 3065 + ... + 83007.

It is an arithmetic number, because the mean of its divisors is an integer number (151094160).

Almost surely, 23440426948 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 3440426948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3626259840).

3440426948 is an abundant number, since it is smaller than the sum of its proper divisors (3812092732).

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

3440426948 is a wasteful number, since it uses less digits than its factorization.

3440426948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80036 (or 80034 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 44.

The square root of 3440426948 is about 58655.1527830250. The cubic root of 3440426948 is about 1509.6309125255.

The spelling of 3440426948 in words is "three billion, four hundred forty million, four hundred twenty-six thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 28 29 53 58 106 116 203 212 371 406 742 812 1484 1537 3074 6148 10759 21518 43036 79943 159886 319772 559601 1119202 2238404 2318347 4236979 4636694 8473958 9273388 16228429 16947916 29658853 32456858 59317706 64913716 118635412 122872391 245744782 491489564 860106737 1720213474 3440426948