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707347968 = 29317103263
BaseRepresentation
bin101010001010010…
…100011000000000
31211021222222222220
4222022110120000
52422040113333
6154104531040
723346233655
oct5212243000
91737888886
10707347968
11333308aa8
12178a80a80
13b3712ac2
1469d2bc2c
15421748b3
hex2a294600

707347968 has 160 divisors (see below), whose sum is σ = 2022299136. Its totient is φ = 218923008.

The previous prime is 707347967. The next prime is 707347997. The reversal of 707347968 is 869743707.

It is a super-2 number, since 2×7073479682 = 1000682295667458048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 707347968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (707347967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2689405 + ... + 2689667.

Almost surely, 2707347968 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 707347968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011149568).

707347968 is an abundant number, since it is smaller than the sum of its proper divisors (1314951168).

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

707347968 is a wasteful number, since it uses less digits than its factorization.

707347968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 51.

The square root of 707347968 is about 26596.0141374605. The cubic root of 707347968 is about 890.9999987404. Note that the first 5 decimals are identical.

The spelling of 707347968 in words is "seven hundred seven million, three hundred forty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 103 128 136 192 204 206 256 263 272 309 384 408 412 512 526 544 618 768 789 816 824 1052 1088 1236 1536 1578 1632 1648 1751 2104 2176 2472 3156 3264 3296 3502 4208 4352 4471 4944 5253 6312 6528 6592 7004 8416 8704 8942 9888 10506 12624 13056 13184 13413 14008 16832 17884 19776 21012 25248 26112 26368 26826 27089 28016 33664 35768 39552 42024 50496 52736 53652 54178 56032 67328 71536 79104 81267 84048 100992 107304 108356 112064 134656 143072 158208 162534 168096 201984 214608 216712 224128 286144 325068 336192 403968 429216 433424 448256 460513 572288 650136 672384 858432 866848 896512 921026 1144576 1300272 1344768 1381539 1716864 1733696 1842052 2289152 2600544 2689536 2763078 3433728 3467392 3684104 5201088 5526156 6867456 6934784 7368208 10402176 11052312 13869568 14736416 20804352 22104624 29472832 41608704 44209248 58945664 88418496 117891328 176836992 235782656 353673984 707347968