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3404742732384 = 253716673039341
BaseRepresentation
bin110001100010111010011…
…110110010101001100000
3110001111020101010102011220
4301202322132302221200
5421240403114414014
611124041152535040
7500661461501160
oct61427236625140
913044211112156
103404742732384
1110a2a41569114
1246ba41551480
131b90b1911466
14bab0cd0c5a0
155d8726c66a9
hex318ba7b2a60

3404742732384 has 96 divisors (see below), whose sum is σ = 10220358871296. Its totient is φ = 972199764480.

The previous prime is 3404742732379. The next prime is 3404742732427. The reversal of 3404742732384 is 4832372474043.

It is a tau number, because it is divible by the number of its divisors (96).

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, 399447 + ... + 2639894.

It is an arithmetic number, because the mean of its divisors is an integer number (106462071576).

Almost surely, 23404742732384 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 3404742732384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5110179435648).

3404742732384 is an abundant number, since it is smaller than the sum of its proper divisors (6815616138912).

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

3404742732384 is a wasteful number, since it uses less digits than its factorization.

3404742732384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3041028 (or 3041020 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 51.

It can be divided in two parts, 3404742 and 732384, that added together give a triangular number (4137126 = T2876).

The spelling of 3404742732384 in words is "three trillion, four hundred four billion, seven hundred forty-two million, seven hundred thirty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1667 3334 5001 6668 10002 11669 13336 20004 23338 26672 35007 40008 46676 53344 70014 80016 93352 140028 160032 186704 280056 373408 560112 1120224 3039341 6078682 9118023 12157364 18236046 21275387 24314728 36472092 42550774 48629456 63826161 72944184 85101548 97258912 127652322 145888368 170203096 255304644 291776736 340406192 510609288 680812384 1021218576 2042437152 5066581447 10133162894 15199744341 20266325788 30399488682 35466070129 40532651576 60798977364 70932140258 81065303152 106398210387 121597954728 141864280516 162130606304 212796420774 243195909456 283728561032 425592841548 486391818912 567457122064 851185683096 1134914244128 1702371366192 3404742732384