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40317696 = 283319307
BaseRepresentation
bin1001100111001…
…1001100000000
32210212100111000
42121303030000
540310131241
64000052000
7666460206
oct231631400
983770430
1040317696
1120838311
1211604000
138478333
1454d7076
153815eb6
hex2673300

40317696 has 144 divisors (see below), whose sum is σ = 125910400. Its totient is φ = 12690432.

The previous prime is 40317691. The next prime is 40317713. The reversal of 40317696 is 69671304.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×403176962 = 3251033221496832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40317696.

It is not an unprimeable number, because it can be changed into a prime (40317691) 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, 131175 + ... + 131481.

Almost surely, 240317696 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 40317696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62955200).

40317696 is an abundant number, since it is smaller than the sum of its proper divisors (85592704).

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

40317696 is a wasteful number, since it uses less digits than its factorization.

40317696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 40317696 is about 6349.6217210161. The cubic root of 40317696 is about 342.8982236490.

The spelling of 40317696 in words is "forty million, three hundred seventeen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 307 342 384 432 456 513 576 608 614 684 768 864 912 921 1026 1152 1216 1228 1368 1728 1824 1842 2052 2304 2432 2456 2736 2763 3456 3648 3684 4104 4864 4912 5472 5526 5833 6912 7296 7368 8208 8289 9824 10944 11052 11666 14592 14736 16416 16578 17499 19648 21888 22104 23332 29472 32832 33156 34998 39296 43776 44208 46664 52497 58944 65664 66312 69996 78592 88416 93328 104994 117888 131328 132624 139992 157491 176832 186656 209988 235776 265248 279984 314982 353664 373312 419976 530496 559968 629964 707328 746624 839952 1060992 1119936 1259928 1493248 1679904 2121984 2239872 2519856 3359808 4479744 5039712 6719616 10079424 13439232 20158848 40317696