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3352398480 = 243257165579
BaseRepresentation
bin1100011111010001…
…1000101010010000
322122122010111011200
43013310120222100
523331203222410
61312353311200
7146034626334
oct30764305220
98578114150
103352398480
111470383662
12796865500
134156ca352
1423b3397c4
151494a33c0
hexc7d18a90

3352398480 has 120 divisors (see below), whose sum is σ = 11417215680. Its totient is φ = 881368320.

The previous prime is 3352398451. The next prime is 3352398481. The reversal of 3352398480 is 848932533.

3352398480 is a `hidden beast` number, since 33 + 52 + 3 + 98 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×33523984802 = 22477151137412620800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3352398481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18331 + ... + 83909.

It is an arithmetic number, because the mean of its divisors is an integer number (95143464).

Almost surely, 23352398480 is an apocalyptic number.

3352398480 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 3352398480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5708607840).

3352398480 is an abundant number, since it is smaller than the sum of its proper divisors (8064817200).

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

3352398480 is a wasteful number, since it uses less digits than its factorization.

3352398480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65669 (or 65660 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3352398480 is about 57899.9005180493. The cubic root of 3352398480 is about 1496.6441243314.

The spelling of 3352398480 in words is "three billion, three hundred fifty-two million, three hundred ninety-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 71 72 80 90 120 142 144 180 213 240 284 355 360 426 568 639 710 720 852 1065 1136 1278 1420 1704 2130 2556 2840 3195 3408 4260 5112 5680 6390 8520 10224 12780 17040 25560 51120 65579 131158 196737 262316 327895 393474 524632 590211 655790 786948 983685 1049264 1180422 1311580 1573896 1967370 2360844 2623160 2951055 3147792 3934740 4656109 4721688 5246320 5902110 7869480 9312218 9443376 11804220 13968327 15738960 18624436 23280545 23608440 27936654 37248872 41904981 46561090 47216880 55873308 69841635 74497744 83809962 93122180 111746616 139683270 167619924 186244360 209524905 223493232 279366540 335239848 372488720 419049810 558733080 670479696 838099620 1117466160 1676199240 3352398480