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3404441432 = 237195373827
BaseRepresentation
bin1100101011101011…
…1010011101011000
322210021001112200102
43022322322131120
523433014111212
61321452554532
7150236163140
oct31272723530
98707045612
103404441432
11149779a267
127b0182a48
1342341c5b2
14244205920
1514dd335c2
hexcaeba758

3404441432 has 128 divisors (see below), whose sum is σ = 7940851200. Its totient is φ = 1335979008.

The previous prime is 3404441431. The next prime is 3404441473. The reversal of 3404441432 is 2341444043.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3404441395 and 3404441404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3404441431) 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, 4116203 + ... + 4117029.

It is an arithmetic number, because the mean of its divisors is an integer number (62037900).

Almost surely, 23404441432 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 3404441432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3970425600).

3404441432 is an abundant number, since it is smaller than the sum of its proper divisors (4536409768).

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

3404441432 is a wasteful number, since it uses less digits than its factorization.

3404441432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

The square root of 3404441432 is about 58347.5914841393. The cubic root of 3404441432 is about 1504.3490718258.

Adding to 3404441432 its reverse (2341444043), we get a palindrome (5745885475).

The spelling of 3404441432 in words is "three billion, four hundred four million, four hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 19 28 38 53 56 73 76 106 133 146 152 212 266 292 371 424 511 532 584 742 827 1007 1022 1064 1387 1484 1654 2014 2044 2774 2968 3308 3869 4028 4088 5548 5789 6616 7049 7738 8056 9709 11096 11578 14098 15476 15713 19418 23156 27083 28196 30952 31426 38836 43831 46312 54166 56392 60371 62852 73511 77672 87662 108332 109991 120742 125704 147022 175324 216664 219982 241484 294044 306817 350648 422597 439964 482968 514577 588088 613634 832789 845194 879928 1029154 1147049 1227268 1665578 1690388 2058308 2294098 2454536 3199663 3331156 3380776 4116616 4588196 5829523 6399326 6662312 8029343 9176392 11659046 12798652 16058686 22397641 23318092 25597304 32117372 44795282 46636184 60793597 64234744 89590564 121587194 179181128 243174388 425555179 486348776 851110358 1702220716 3404441432