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944313072 = 2431931127263
BaseRepresentation
bin111000010010010…
…001001011110000
32102210220002000020
4320102101023300
53413221004242
6233411523440
732254346223
oct7022211360
92383802006
10944313072
1144504942a
122242b9580
13120840441
148d5b35ba
1557d816ec
hex384912f0

944313072 has 160 divisors (see below), whose sum is σ = 2681733120. Its totient is φ = 285223680.

The previous prime is 944313043. The next prime is 944313101. The reversal of 944313072 is 270313449.

It is an interprime number because it is at equal distance from previous prime (944313043) and next prime (944313101).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3590413 + ... + 3590675.

It is an arithmetic number, because the mean of its divisors is an integer number (16760832).

Almost surely, 2944313072 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 944313072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340866560).

944313072 is an abundant number, since it is smaller than the sum of its proper divisors (1737420048).

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

944313072 is a wasteful number, since it uses less digits than its factorization.

944313072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 944313072 is about 30729.6773819707. The cubic root of 944313072 is about 981.0820590133.

The spelling of 944313072 in words is "nine hundred forty-four million, three hundred thirteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 57 62 76 93 114 124 127 152 186 228 248 254 263 304 372 381 456 496 508 526 589 744 762 789 912 1016 1052 1178 1488 1524 1578 1767 2032 2104 2356 2413 3048 3156 3534 3937 4208 4712 4826 4997 6096 6312 7068 7239 7874 8153 9424 9652 9994 11811 12624 14136 14478 14991 15748 16306 19304 19988 23622 24459 28272 28956 29982 31496 32612 33401 38608 39976 47244 48918 57912 59964 62992 65224 66802 74803 79952 94488 97836 100203 115824 119928 130448 133604 149606 154907 188976 195672 200406 224409 239856 267208 299212 309814 391344 400812 448818 464721 534416 598424 619628 634619 801624 897636 929442 1035431 1196848 1239256 1269238 1603248 1795272 1858884 1903857 2070862 2478512 2538476 3106293 3590544 3717768 3807714 4141724 5076952 6212586 7435536 7615428 8283448 10153904 12425172 15230856 16566896 19673189 24850344 30461712 39346378 49700688 59019567 78692756 118039134 157385512 236078268 314771024 472156536 944313072