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3441222096 = 24313231631471
BaseRepresentation
bin1100110100011100…
…1110000111010000
322212211021012021020
43031013032013100
524021423101341
61325245155440
7151163622324
oct31507160720
98784235236
103441222096
111506531104
1280055bb80
1342ac299c0
1424905b984
1515219b566
hexcd1ce1d0

3441222096 has 160 divisors (see below), whose sum is σ = 10058022912. Its totient is φ = 1005903360.

The previous prime is 3441222079. The next prime is 3441222181. The reversal of 3441222096 is 6902221443.

It is a congruent number.

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, 2338641 + ... + 2340111.

Almost surely, 23441222096 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 3441222096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5029011456).

3441222096 is an abundant number, since it is smaller than the sum of its proper divisors (6616800816).

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

3441222096 is a wasteful number, since it uses less digits than its factorization.

3441222096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 3441222096 is about 58661.9305512527. The cubic root of 3441222096 is about 1509.7472050239.

The spelling of 3441222096 in words is "three billion, four hundred forty-one million, two hundred twenty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 163 184 208 276 299 312 326 368 489 552 598 624 652 897 978 1104 1196 1304 1471 1794 1956 2119 2392 2608 2942 3588 3749 3912 4238 4413 4784 5884 6357 7176 7498 7824 8476 8826 11247 11768 12714 14352 14996 16952 17652 19123 22494 23536 25428 29992 33833 33904 35304 38246 44988 48737 50856 57369 59984 67666 70608 76492 89976 97474 101499 101712 114738 135332 146211 152984 179952 194948 202998 229476 239773 270664 292422 305968 389896 405996 439829 458952 479546 541328 584844 719319 779792 811992 879658 917904 959092 1169688 1319487 1438638 1623984 1759316 1918184 2339376 2638974 2877276 3117049 3518632 3836368 5277948 5514779 5754552 6234098 7037264 9351147 10555896 11029558 11509104 12468196 16544337 18702294 21111792 22059116 24936392 33088674 37404588 44118232 49872784 66177348 71692127 74809176 88236464 132354696 143384254 149618352 215076381 264709392 286768508 430152762 573537016 860305524 1147074032 1720611048 3441222096