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3821341480 = 2351131281997
BaseRepresentation
bin1110001111000101…
…0000101100101000
3100212022112021000221
43203301100230220
530311230411410
61431104335424
7163460603155
oct34361205450
910768467027
103821341480
111691058460
128a7914574
1348b8ca308
1428372922c
151757344da
hexe3c50b28

3821341480 has 128 divisors (see below), whose sum is σ = 9726428160. Its totient is φ = 1338624000.

The previous prime is 3821341429. The next prime is 3821341493. The reversal of 3821341480 is 841431283.

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, 3832342 + ... + 3833338.

It is an arithmetic number, because the mean of its divisors is an integer number (75987720).

Almost surely, 23821341480 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 3821341480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4863214080).

3821341480 is an abundant number, since it is smaller than the sum of its proper divisors (5905086680).

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

3821341480 is a wasteful number, since it uses less digits than its factorization.

3821341480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 3821341480 is about 61816.9999272045. Note that the first 4 decimals coincide. The cubic root of 3821341480 is about 1563.4066305677.

The spelling of 3821341480 in words is "three billion, eight hundred twenty-one million, three hundred forty-one thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 281 310 341 440 562 620 682 997 1124 1240 1364 1405 1705 1994 2248 2728 2810 3091 3410 3988 4985 5620 6182 6820 7976 8711 9970 10967 11240 12364 13640 15455 17422 19940 21934 24728 30907 30910 34844 39880 43555 43868 54835 61814 61820 69688 87110 87736 95821 109670 123628 123640 154535 174220 191642 219340 247256 280157 309070 339977 348440 383284 438680 479105 560314 618140 679954 766568 958210 1120628 1236280 1359908 1400785 1699885 1916420 2241256 2719816 2801570 3081727 3399770 3832840 5603140 6163454 6799540 8684867 11206280 12326908 13599080 15408635 17369734 24653816 30817270 34739468 43424335 61634540 69478936 86848670 95533537 123269080 173697340 191067074 347394680 382134148 477667685 764268296 955335370 1910670740 3821341480