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2943364704 = 25375777591
BaseRepresentation
bin1010111101110000…
…0010111001100000
321121010110102022120
42233130002321200
522012000132304
61204022304240
7132640121130
oct25734027140
97533412276
102943364704
1112804a8515
126a1888080
1337ba44c27
141dcca2ac0
151236080d9
hexaf702e60

2943364704 has 96 divisors (see below), whose sum is σ = 8846562816. Its totient is φ = 839393280.

The previous prime is 2943364691. The next prime is 2943364759. The reversal of 2943364704 is 4074633492.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 383949 + ... + 391539.

It is an arithmetic number, because the mean of its divisors is an integer number (92151696).

Almost surely, 22943364704 is an apocalyptic number.

2943364704 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 2943364704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4423281408).

2943364704 is an abundant number, since it is smaller than the sum of its proper divisors (5903198112).

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

2943364704 is a wasteful number, since it uses less digits than its factorization.

2943364704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8188 (or 8180 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The square root of 2943364704 is about 54252.7852188254. The cubic root of 2943364704 is about 1433.1160478748.

The spelling of 2943364704 in words is "two billion, nine hundred forty-three million, three hundred sixty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 577 672 1154 1731 2308 3462 4039 4616 6924 7591 8078 9232 12117 13848 15182 16156 18464 22773 24234 27696 30364 32312 45546 48468 53137 55392 60728 64624 91092 96936 106274 121456 129248 159411 182184 193872 212548 242912 318822 364368 387744 425096 637644 728736 850192 1275288 1700384 2550576 4380007 5101152 8760014 13140021 17520028 26280042 30660049 35040056 52560084 61320098 70080112 91980147 105120168 122640196 140160224 183960294 210240336 245280392 367920588 420480672 490560784 735841176 981121568 1471682352 2943364704