Search a number
-
+
3491536944 = 24373316841
BaseRepresentation
bin1101000000011100…
…1010000000110000
3100000022221110021010
43100013022000300
524122313140234
61334243430520
7152344401000
oct32007120060
910008843233
103491536944
111531977425
12815385440
134384954bc
142519d8000
151567d96e9
hexd01ca030

3491536944 has 160 divisors (see below), whose sum is σ = 10859622400. Its totient is φ = 965260800.

The previous prime is 3491536933. The next prime is 3491536949. The reversal of 3491536944 is 4496351943.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 3491536893 and 3491536902.

It is not an unprimeable number, because it can be changed into a prime (3491536949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 506964 + ... + 513804.

It is an arithmetic number, because the mean of its divisors is an integer number (67872640).

Almost surely, 23491536944 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 3491536944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5429811200).

3491536944 is an abundant number, since it is smaller than the sum of its proper divisors (7368085456).

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

3491536944 is a wasteful number, since it uses less digits than its factorization.

3491536944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6904 (or 6884 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 48.

The square root of 3491536944 is about 59089.2286630990. The cubic root of 3491536944 is about 1517.0697448056.

The spelling of 3491536944 in words is "three billion, four hundred ninety-one million, five hundred thirty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 49 56 62 84 93 98 112 124 147 168 186 196 217 248 294 336 343 372 392 434 496 588 651 686 744 784 868 1029 1176 1302 1372 1488 1519 1736 2058 2352 2604 2744 3038 3472 4116 4557 5208 5488 6076 6841 8232 9114 10416 10633 12152 13682 16464 18228 20523 21266 24304 27364 31899 36456 41046 42532 47887 54728 63798 72912 82092 85064 95774 109456 127596 143661 164184 170128 191548 212071 255192 287322 328368 335209 383096 424142 510384 574644 636213 670418 766192 848284 1005627 1149288 1272426 1340836 1484497 1696568 2011254 2298576 2346463 2544852 2681672 2968994 3393136 4022508 4453491 4692926 5089704 5363344 5937988 7039389 8045016 8906982 9385852 10179408 10391479 11875976 14078778 16090032 17813964 18771704 20782958 23751952 28157556 31174437 35627928 37543408 41565916 56315112 62348874 71255856 72740353 83131832 112630224 124697748 145480706 166263664 218221059 249395496 290961412 436442118 498790992 581922824 872884236 1163845648 1745768472 3491536944