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3404350425440 = 25579279796293
BaseRepresentation
bin110001100010100011000…
…110010000100101100000
3110001110020000221011020002
4301202203012100211200
5421234102202103230
611123534220235132
7500645656110146
oct61424306204540
913043200834202
103404350425440
1110a28600780a8
1246b95209baa8
131b904b564683
14baab2b8b596
155d84d032545
hex318a3190960

3404350425440 has 96 divisors (see below), whose sum is σ = 8147581706880. Its totient is φ = 1344008300544.

The previous prime is 3404350425419. The next prime is 3404350425457. The reversal of 3404350425440 is 445240534043.

It is a junction number, because it is equal to n+sod(n) for n = 3404350425394 and 3404350425403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35305934 + ... + 35402226.

It is an arithmetic number, because the mean of its divisors is an integer number (84870642780).

Almost surely, 23404350425440 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 3404350425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4073790853440).

3404350425440 is an abundant number, since it is smaller than the sum of its proper divisors (4743231281440).

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

3404350425440 is a wasteful number, since it uses less digits than its factorization.

3404350425440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99184 (or 99176 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 38.

Adding to 3404350425440 its reverse (445240534043), we get a palindrome (3849590959483).

The spelling of 3404350425440 in words is "three trillion, four hundred four billion, three hundred fifty million, four hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 158 160 316 395 632 790 1264 1580 2528 2797 3160 5594 6320 11188 12640 13985 22376 27970 44752 55940 89504 96293 111880 192586 220963 223760 385172 441926 447520 481465 770344 883852 962930 1104815 1540688 1767704 1925860 2209630 3081376 3535408 3851720 4419260 7070816 7607147 7703440 8838520 15214294 15406880 17677040 30428588 35354080 38035735 60857176 76071470 121714352 152142940 243428704 269331521 304285880 538663042 608571760 1077326084 1217143520 1346657605 2154652168 2693315210 4309304336 5386630420 8618608672 10773260840 21277190159 21546521680 42554380318 43093043360 85108760636 106385950795 170217521272 212771901590 340435042544 425543803180 680870085088 851087606360 1702175212720 3404350425440