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3744983424 = 273713107171
BaseRepresentation
bin1101111100110111…
…1110100110000000
3100122222211212110210
43133031332212000
530132203432144
61415335554120
7161542556010
oct33715764600
910588755423
103744983424
111651a44526
1288622b940
13478b43830
1427752dc40
1516db9eab9
hexdf37e980

3744983424 has 128 divisors (see below), whose sum is σ = 12243329280. Its totient is φ = 987678720.

The previous prime is 3744983393. The next prime is 3744983443. The reversal of 3744983424 is 4243894473.

It is a happy number.

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 (48).

It is a congruent number.

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, 18642 + ... + 88529.

It is an arithmetic number, because the mean of its divisors is an integer number (95651010).

Almost surely, 23744983424 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 3744983424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6121664640).

3744983424 is an abundant number, since it is smaller than the sum of its proper divisors (8498345856).

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

3744983424 is a wasteful number, since it uses less digits than its factorization.

3744983424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107208 (or 107196 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 48.

The square root of 3744983424 is about 61196.2696902352. The cubic root of 3744983424 is about 1552.9231585767.

The spelling of 3744983424 in words is "three billion, seven hundred forty-four million, nine hundred eighty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 273 312 336 364 384 416 448 546 624 672 728 832 896 1092 1248 1344 1456 1664 2184 2496 2688 2912 4368 4992 5824 8736 11648 17472 34944 107171 214342 321513 428684 643026 750197 857368 1286052 1393223 1500394 1714736 2250591 2572104 2786446 3000788 3429472 4179669 4501182 5144208 5572892 6001576 6858944 8359338 9002364 9752561 10288416 11145784 12003152 13717888 16718676 18004728 19505122 20576832 22291568 24006304 29257683 33437352 36009456 39010244 41153664 44583136 48012608 58515366 66874704 72018912 78020488 89166272 96025216 117030732 133749408 144037824 156040976 178332544 234061464 267498816 288075648 312081952 468122928 534997632 624163904 936245856 1248327808 1872491712 3744983424