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3398241024 = 28323739863
BaseRepresentation
bin1100101010001101…
…0000101100000000
322202211101112022200
43022203100230000
523424422203044
61321112033200
7150132400143
oct31243205400
98684345280
103398241024
111494244862
127aa092800
1342205b309
1424347005a
1514d50b369
hexca8d0b00

3398241024 has 108 divisors (see below), whose sum is σ = 10063028976. Its totient is φ = 1102104576.

The previous prime is 3398241019. The next prime is 3398241037. The reversal of 3398241024 is 4201428933.

3398241024 is a `hidden beast` number, since 3 + 398 + 241 + 0 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3398241024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65317 + ... + 105179.

Almost surely, 23398241024 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 3398241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5031514488).

3398241024 is an abundant number, since it is smaller than the sum of its proper divisors (6664787952).

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

3398241024 is a wasteful number, since it uses less digits than its factorization.

3398241024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39922 (or 39905 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3398241024 is about 58294.4339023890. The cubic root of 3398241024 is about 1503.4352414052.

Adding to 3398241024 its reverse (4201428933), we get a palindrome (7599669957).

The spelling of 3398241024 in words is "three billion, three hundred ninety-eight million, two hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 256 288 296 333 384 444 576 592 666 768 888 1152 1184 1332 1776 2304 2368 2664 3552 4736 5328 7104 9472 10656 14208 21312 28416 39863 42624 79726 85248 119589 159452 239178 318904 358767 478356 637808 717534 956712 1275616 1435068 1474931 1913424 2551232 2870136 2949862 3826848 4424793 5102464 5740272 5899724 7653696 8849586 10204928 11480544 11799448 13274379 15307392 17699172 22961088 23598896 26548758 30614784 35398344 45922176 47197792 53097516 70796688 91844352 94395584 106195032 141593376 188791168 212390064 283186752 377582336 424780128 566373504 849560256 1132747008 1699120512 3398241024