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244672704 = 2633178329
BaseRepresentation
bin11101001010101…
…10100011000000
3122001101122212000
432211112203000
51000114011304
640140104000
76030453333
oct1645264300
9561348760
10244672704
11116125251
1269b35000
133b8c8963
14246d061a
1516730939
hexe9568c0

244672704 has 112 divisors (see below), whose sum is σ = 761695200. Its totient is φ = 76750848.

The previous prime is 244672697. The next prime is 244672711. The reversal of 244672704 is 407276442.

It is a happy number.

244672704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (244672697) and next prime (244672711).

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

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, 25212 + ... + 33540.

It is an arithmetic number, because the mean of its divisors is an integer number (6800850).

Almost surely, 2244672704 is an apocalyptic number.

244672704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244672704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380847600).

244672704 is an abundant number, since it is smaller than the sum of its proper divisors (517022496).

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

244672704 is a wasteful number, since it uses less digits than its factorization.

244672704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8367 (or 8351 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 244672704 is about 15642.0172612103. The cubic root of 244672704 is about 625.4537113007.

The spelling of 244672704 in words is "two hundred forty-four million, six hundred seventy-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 136 144 153 192 204 216 272 288 306 408 432 459 544 576 612 816 864 918 1088 1224 1632 1728 1836 2448 3264 3672 4896 7344 8329 9792 14688 16658 24987 29376 33316 49974 66632 74961 99948 133264 141593 149922 199896 224883 266528 283186 299844 399792 424779 449766 533056 566372 599688 799584 849558 899532 1132744 1199376 1274337 1599168 1699116 1799064 2265488 2398752 2548674 3398232 3598128 3823011 4530976 4797504 5097348 6796464 7196256 7646022 9061952 10194696 13592928 14392512 15292044 20389392 27185856 30584088 40778784 61168176 81557568 122336352 244672704