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3444948 = 22321317433
BaseRepresentation
bin1101001001000011010100
320111000120200
431021003110
51340214243
6201500500
741165403
oct15110324
96430520
103444948
111a43271
1211a1730
13938040
1465963a
15480ad3
hex3490d4

3444948 has 72 divisors (see below), whose sum is σ = 9952488. Its totient is φ = 995328.

The previous prime is 3444941. The next prime is 3444967. The reversal of 3444948 is 8494443.

It can be written as a sum of positive squares in 4 ways, for example, as 51984 + 3392964 = 228^2 + 1842^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3444941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7740 + ... + 8172.

It is an arithmetic number, because the mean of its divisors is an integer number (138229).

Almost surely, 23444948 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 3444948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976244).

3444948 is an abundant number, since it is smaller than the sum of its proper divisors (6507540).

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

3444948 is a wasteful number, since it uses less digits than its factorization.

3444948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 468 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 3444948 is about 1856.0571111903. The cubic root of 3444948 is about 151.0291889832.

The spelling of 3444948 in words is "three million, four hundred forty-four thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 433 442 468 612 663 866 884 1299 1326 1732 1989 2598 2652 3897 3978 5196 5629 7361 7794 7956 11258 14722 15588 16887 22083 22516 29444 33774 44166 50661 66249 67548 88332 95693 101322 132498 191386 202644 264996 287079 382772 574158 861237 1148316 1722474 3444948