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3441421104 = 24311311671259
BaseRepresentation
bin1100110100011111…
…1110101100110000
322212211122022020220
43031013332230300
524022000433404
61325253333040
7151165411452
oct31507765460
98784568226
103441421104
111506657680
12800637180
1342ac99464
142490b02d2
151521da4d9
hexcd1feb30

3441421104 has 160 divisors (see below), whose sum is σ = 10079354880. Its totient is φ = 1002374400.

The previous prime is 3441421057. The next prime is 3441421153. The reversal of 3441421104 is 4011241443.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2732827 + ... + 2734085.

It is an arithmetic number, because the mean of its divisors is an integer number (62995968).

Almost surely, 23441421104 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 3441421104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5039677440).

3441421104 is an abundant number, since it is smaller than the sum of its proper divisors (6637933776).

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

3441421104 is a wasteful number, since it uses less digits than its factorization.

3441421104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 3441421104 is about 58663.6267545743. The cubic root of 3441421104 is about 1509.7763076675.

Adding to 3441421104 its reverse (4011241443), we get a palindrome (7452662547).

The spelling of 3441421104 in words is "three billion, four hundred forty-one million, four hundred twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 167 176 186 248 264 334 341 372 496 501 528 668 682 744 1002 1023 1259 1336 1364 1488 1837 2004 2046 2518 2672 2728 3674 3777 4008 4092 5036 5177 5456 5511 7348 7554 8016 8184 10072 10354 11022 13849 14696 15108 15531 16368 20144 20708 22044 27698 29392 30216 31062 39029 41416 41547 44088 55396 56947 60432 62124 78058 82832 83094 88176 110792 113894 117087 124248 156116 166188 170841 210253 221584 227788 234174 248496 312232 332376 341682 420506 429319 455576 468348 624464 630759 664752 683364 841012 858638 911152 936696 1261518 1287957 1366728 1682024 1717276 1873392 2312783 2523036 2575914 2733456 3364048 3434552 4625566 5046072 5151828 6517843 6869104 6938349 9251132 10092144 10303656 13035686 13876698 18502264 19553529 20607312 26071372 27753396 37004528 39107058 52142744 55506792 71696273 78214116 104285488 111013584 143392546 156428232 215088819 286785092 312856464 430177638 573570184 860355276 1147140368 1720710552 3441421104