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320893152 = 25331107827
BaseRepresentation
bin10011001000000…
…111000011100000
3211100211001122120
4103020013003200
51124122040102
651501504240
710644355356
oct2310070340
9740731576
10320893152
11155154858
128b572080
1351634908
14308917d6
151d2896bc
hex132070e0

320893152 has 48 divisors (see below), whose sum is σ = 869524992. Its totient is φ = 103512960.

The previous prime is 320893127. The next prime is 320893159. The reversal of 320893152 is 251398023.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320893159) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50938 + ... + 56889.

It is an arithmetic number, because the mean of its divisors is an integer number (18115104).

Almost surely, 2320893152 is an apocalyptic number.

320893152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

320893152 is an abundant number, since it is smaller than the sum of its proper divisors (548631840).

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

320893152 is a wasteful number, since it uses less digits than its factorization.

320893152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107871 (or 107863 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 320893152 is about 17913.4907820893. The cubic root of 320893152 is about 684.6261493858.

The spelling of 320893152 in words is "three hundred twenty million, eight hundred ninety-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 107827 215654 323481 431308 646962 862616 1293924 1725232 2587848 3342637 3450464 5175696 6685274 10027911 10351392 13370548 20055822 26741096 40111644 53482192 80223288 106964384 160446576 320893152