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3214221240 = 2335411314987
BaseRepresentation
bin1011111110010101…
…0001111110111000
322022000010100122010
42333211101332320
523040320034430
61250535525520
7142436300256
oct27745217670
98260110563
103214221240
1113aa386a9a
127585298a0
133c2baa879
14226c4b5d6
1513c2abcb0
hexbf951fb8

3214221240 has 128 divisors (see below), whose sum is σ = 9955249920. Its totient is φ = 829670400.

The previous prime is 3214221221. The next prime is 3214221251. The reversal of 3214221240 is 421224123.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 642027 + ... + 647013.

It is an arithmetic number, because the mean of its divisors is an integer number (77775390).

Almost surely, 23214221240 is an apocalyptic number.

3214221240 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 3214221240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4977624960).

3214221240 is an abundant number, since it is smaller than the sum of its proper divisors (6741028680).

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

3214221240 is a wasteful number, since it uses less digits than its factorization.

3214221240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5173 (or 5169 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3214221240 is about 56694.1023387795. The cubic root of 3214221240 is about 1475.7923526017.

Adding to 3214221240 its reverse (421224123), we get a palindrome (3635445363).

The spelling of 3214221240 in words is "three billion, two hundred fourteen million, two hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 131 164 205 246 262 328 393 410 492 524 615 655 786 820 984 1048 1230 1310 1572 1640 1965 2460 2620 3144 3930 4920 4987 5240 5371 7860 9974 10742 14961 15720 16113 19948 21484 24935 26855 29922 32226 39896 42968 49870 53710 59844 64452 74805 80565 99740 107420 119688 128904 149610 161130 199480 204467 214840 299220 322260 408934 598440 613401 644520 653297 817868 1022335 1226802 1306594 1635736 1959891 2044670 2453604 2613188 3067005 3266485 3919782 4089340 4907208 5226376 6134010 6532970 7839564 8178680 9799455 12268020 13065940 15679128 19598910 24536040 26131880 26785177 39197820 53570354 78395640 80355531 107140708 133925885 160711062 214281416 267851770 321422124 401777655 535703540 642844248 803555310 1071407080 1607110620 3214221240