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3798114432 = 27371783117
BaseRepresentation
bin1110001001100010…
…1010000010000000
3100210200211012111220
43202120222002000
530234304130212
61424514435040
7163056303630
oct34230520200
910720735456
103798114432
111679a33652
1289bb92a80
13486b570b8
142806006c0
1517369738c
hexe262a080

3798114432 has 128 divisors (see below), whose sum is σ = 12208371840. Its totient is φ = 1021329408.

The previous prime is 3798114413. The next prime is 3798114457. The reversal of 3798114432 is 2344118973.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 4138 + ... + 87254.

It is an arithmetic number, because the mean of its divisors is an integer number (95377905).

Almost surely, 23798114432 is an apocalyptic number.

3798114432 is a gapful number since it is divisible by the number (32) 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 3798114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6104185920).

3798114432 is an abundant number, since it is smaller than the sum of its proper divisors (8410257408).

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

3798114432 is a wasteful number, since it uses less digits than its factorization.

3798114432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83158 (or 83146 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 3798114432 is about 61628.8441559632. The cubic root of 3798114432 is about 1560.2326017399.

The spelling of 3798114432 in words is "three billion, seven hundred ninety-eight million, one hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 272 336 357 384 408 448 476 544 672 714 816 896 952 1088 1344 1428 1632 1904 2176 2688 2856 3264 3808 5712 6528 7616 11424 15232 22848 45696 83117 166234 249351 332468 498702 581819 664936 997404 1163638 1329872 1412989 1745457 1994808 2327276 2659744 2825978 3490914 3989616 4238967 4654552 5319488 5651956 6981828 7979232 8477934 9309104 9890923 10638976 11303912 13963656 15958464 16955868 18618208 19781846 22607824 27927312 29672769 31916928 33911736 37236416 39563692 45215648 55854624 59345538 67823472 74472832 79127384 90431296 111709248 118691076 135646944 158254768 180862592 223418496 237382152 271293888 316509536 474764304 542587776 633019072 949528608 1266038144 1899057216 3798114432