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3362321440 = 25541717219
BaseRepresentation
bin1100100001101000…
…1111010000100000
322200022210121220201
43020122033100200
523341223241230
61313350114544
7146215155262
oct31032172040
98608717821
103362321440
111475a40955
1279a04ba54
13417792b1a
1423c79db32
1514a2b35ca
hexc868f420

3362321440 has 96 divisors (see below), whose sum is σ = 8252979840. Its totient is φ = 1293465600.

The previous prime is 3362321437. The next prime is 3362321467. The reversal of 3362321440 is 441232633.

It is a super-2 number, since 2×33623214402 = 22610410931767347200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3362321399 and 3362321408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462151 + ... + 469369.

It is an arithmetic number, because the mean of its divisors is an integer number (85968540).

Almost surely, 23362321440 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 3362321440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126489920).

3362321440 is an abundant number, since it is smaller than the sum of its proper divisors (4890658400).

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

3362321440 is a wasteful number, since it uses less digits than its factorization.

3362321440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7346 (or 7338 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 3362321440 is about 57985.5278496281. The cubic root of 3362321440 is about 1498.1193378736.

The spelling of 3362321440 in words is "three billion, three hundred sixty-two million, three hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 71 80 82 142 160 164 205 284 328 355 410 568 656 710 820 1136 1312 1420 1640 2272 2840 2911 3280 5680 5822 6560 7219 11360 11644 14438 14555 23288 28876 29110 36095 46576 57752 58220 72190 93152 115504 116440 144380 231008 232880 288760 295979 465760 512549 577520 591958 1025098 1155040 1183916 1479895 2050196 2367832 2562745 2959790 4100392 4735664 5125490 5919580 8200784 9471328 10250980 11839160 16401568 20501960 21014509 23678320 41003920 42029018 47356640 82007840 84058036 105072545 168116072 210145090 336232144 420290180 672464288 840580360 1681160720 3362321440