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673776640 = 2105177741
BaseRepresentation
bin101000001010010…
…000010000000000
31201221211101210101
4220022100100000
52334441323030
6150505212144
722461002245
oct5012202000
91657741711
10673776640
113163693a9
12169791054
13a978a404
14656ad5cc
153e2427ca
hex28290400

673776640 has 88 divisors (see below), whose sum is σ = 1711570392. Its totient is φ = 253624320.

The previous prime is 673776629. The next prime is 673776667. The reversal of 673776640 is 46677376.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 63489024 + 610287616 = 7968^2 + 24704^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83170 + ... + 90910.

Almost surely, 2673776640 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 673776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855785196).

673776640 is an abundant number, since it is smaller than the sum of its proper divisors (1037793752).

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

673776640 is a wasteful number, since it uses less digits than its factorization.

673776640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7783 (or 7765 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 46.

The square root of 673776640 is about 25957.2078621719. The cubic root of 673776640 is about 876.6750563435.

The spelling of 673776640 in words is "six hundred seventy-three million, seven hundred seventy-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 1024 1088 1280 1360 2176 2560 2720 4352 5120 5440 7741 8704 10880 15482 17408 21760 30964 38705 43520 61928 77410 87040 123856 131597 154820 247712 263194 309640 495424 526388 619280 657985 990848 1052776 1238560 1315970 1981696 2105552 2477120 2631940 3963392 4211104 4954240 5263880 7926784 8422208 9908480 10527760 16844416 19816960 21055520 33688832 39633920 42111040 67377664 84222080 134755328 168444160 336888320 673776640