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674802816 = 273101127137
BaseRepresentation
bin101000001110001…
…010110010000000
31202000202112102220
4220032022302000
52340222142231
6150543211040
722502505102
oct5016126200
91660675386
10674802816
113169aa386
12169ba6a80
13a9a5950c
1465899572
153e396896
hex2838ac80

674802816 has 128 divisors (see below), whose sum is σ = 1837762560. Its totient is φ = 219340800.

The previous prime is 674802787. The next prime is 674802833. The reversal of 674802816 is 618208476.

It is a tau number, because it is divible by the number of its divisors (128).

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, 4925500 + ... + 4925636.

It is an arithmetic number, because the mean of its divisors is an integer number (14357520).

Almost surely, 2674802816 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 674802816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918881280).

674802816 is an abundant number, since it is smaller than the sum of its proper divisors (1162959744).

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

674802816 is a wasteful number, since it uses less digits than its factorization.

674802816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 674802816 is about 25976.9670285043. The cubic root of 674802816 is about 877.1198954392.

The spelling of 674802816 in words is "six hundred seventy-four million, eight hundred two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 127 128 137 192 202 254 274 303 381 384 404 411 508 548 606 762 808 822 1016 1096 1212 1524 1616 1644 2032 2192 2424 3048 3232 3288 4064 4384 4848 6096 6464 6576 8128 8768 9696 12192 12827 12928 13152 13837 16256 17399 17536 19392 24384 25654 26304 27674 34798 38481 38784 41511 48768 51308 52197 52608 55348 69596 76962 83022 102616 104394 110696 139192 153924 166044 205232 208788 221392 278384 307848 332088 410464 417576 442784 556768 615696 664176 820928 835152 885568 1113536 1231392 1328352 1641856 1670304 1757299 1771136 2227072 2462784 2656704 3340608 3514598 4925568 5271897 5313408 6681216 7029196 10543794 14058392 21087588 28116784 42175176 56233568 84350352 112467136 168700704 224934272 337401408 674802816