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744392940 = 2235172692713
BaseRepresentation
bin101100010111101…
…000100011101100
31220212201002010220
4230113220203230
53011031033230
6201510531340
724306143544
oct5427504354
91825632126
10744392940
11352210485
12189366b50
13bb2b35c5
1470c12324
1545540d10
hex2c5e88ec

744392940 has 96 divisors (see below), whose sum is σ = 2215926720. Its totient is φ = 186064896.

The previous prime is 744392939. The next prime is 744392947. The reversal of 744392940 is 49293447.

744392940 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 = 744392892 and 744392901.

It is not an unprimeable number, because it can be changed into a prime (744392947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273024 + ... + 275736.

It is an arithmetic number, because the mean of its divisors is an integer number (23082570).

Almost surely, 2744392940 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 744392940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107963360).

744392940 is an abundant number, since it is smaller than the sum of its proper divisors (1471533780).

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

744392940 is a wasteful number, since it uses less digits than its factorization.

744392940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 744392940 is about 27283.5653828454. The cubic root of 744392940 is about 906.2904740386.

The spelling of 744392940 in words is "seven hundred forty-four million, three hundred ninety-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 269 340 510 538 807 1020 1076 1345 1614 2690 2713 3228 4035 4573 5380 5426 8070 8139 9146 10852 13565 13719 16140 16278 18292 22865 27130 27438 32556 40695 45730 46121 54260 54876 68595 81390 91460 92242 137190 138363 162780 184484 230605 274380 276726 461210 553452 691815 729797 922420 1383630 1459594 2189391 2767260 2919188 3648985 4378782 7297970 8757564 10946955 12406549 14595940 21893910 24813098 37219647 43787820 49626196 62032745 74439294 124065490 148878588 186098235 248130980 372196470 744392940