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396522240 = 2835313331
BaseRepresentation
bin10111101000100…
…111001100000000
31000122010102020220
4113220213030000
51303002202430
6103202503040
712553245342
oct2750471400
91018112226
10396522240
11193910034
12b0964a80
13641c465a
143a93b292
1524c28110
hex17a27300

396522240 has 144 divisors (see below), whose sum is σ = 1307636736. Its totient is φ = 102297600.

The previous prime is 396522239. The next prime is 396522241. The reversal of 396522240 is 42225693.

It is an interprime number because it is at equal distance from previous prime (396522239) and next prime (396522241).

It is not an unprimeable number, because it can be changed into a prime (396522241) 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, 117375 + ... + 120705.

Almost surely, 2396522240 is an apocalyptic number.

396522240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396522240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653818368).

396522240 is an abundant number, since it is smaller than the sum of its proper divisors (911114496).

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

396522240 is a wasteful number, since it uses less digits than its factorization.

396522240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3386 (or 3372 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 396522240 is about 19912.8661924897. The cubic root of 396522240 is about 734.6647181977.

The spelling of 396522240 in words is "three hundred ninety-six million, five hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 256 310 320 372 384 465 480 496 620 640 744 768 930 960 992 1240 1280 1488 1860 1920 1984 2480 2976 3331 3720 3840 3968 4960 5952 6662 7440 7936 9920 9993 11904 13324 14880 16655 19840 19986 23808 26648 29760 33310 39680 39972 49965 53296 59520 66620 79944 99930 103261 106592 119040 133240 159888 199860 206522 213184 266480 309783 319776 399720 413044 426368 516305 532960 619566 639552 799440 826088 852736 1032610 1065920 1239132 1279104 1548915 1598880 1652176 2065220 2131840 2478264 2558208 3097830 3197760 3304352 4130440 4263680 4956528 6195660 6395520 6608704 8260880 9913056 12391320 12791040 13217408 16521760 19826112 24782640 26434816 33043520 39652224 49565280 66087040 79304448 99130560 132174080 198261120 396522240