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398664640 = 26511373061
BaseRepresentation
bin10111110000110…
…010001111000000
31000210011021002001
4113300302033000
51304024232030
6103320433344
712610410403
oct2760621700
91023137061
10398664640
11195043710
12b1618854
136479484a
143ad37d3a
1524eeccca
hex17c323c0

398664640 has 112 divisors (see below), whose sum is σ = 1063959264. Its totient is φ = 141004800.

The previous prime is 398664611. The next prime is 398664659. The reversal of 398664640 is 46466893.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128710 + ... + 131770.

Almost surely, 2398664640 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 398664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531979632).

398664640 is an abundant number, since it is smaller than the sum of its proper divisors (665294624).

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

398664640 is a wasteful number, since it uses less digits than its factorization.

398664640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3126 (or 3116 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 46.

The square root of 398664640 is about 19966.5880911086. The cubic root of 398664640 is about 735.9854675770.

The spelling of 398664640 in words is "three hundred ninety-eight million, six hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 37 40 44 55 64 74 80 88 110 148 160 176 185 220 296 320 352 370 407 440 592 704 740 814 880 1184 1480 1628 1760 2035 2368 2960 3061 3256 3520 4070 5920 6122 6512 8140 11840 12244 13024 15305 16280 24488 26048 30610 32560 33671 48976 61220 65120 67342 97952 113257 122440 130240 134684 168355 195904 226514 244880 269368 336710 453028 489760 538736 566285 673420 906056 979520 1077472 1132570 1245827 1346840 1812112 2154944 2265140 2491654 2693680 3624224 4530280 4983308 5387360 6229135 7248448 9060560 9966616 10774720 12458270 18121120 19933232 24916540 36242240 39866464 49833080 79732928 99666160 199332320 398664640