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3402424344 = 2331131213411
BaseRepresentation
bin1100101011001100…
…1110000000011000
322210010021001202110
43022303032000120
523432010034334
61321341432320
7150213062334
oct31263160030
98703231673
103402424344
111496641850
127ab56b6a0
13422b94457
14243c3c7c4
1514da85ae9
hexcacce018

3402424344 has 96 divisors (see below), whose sum is σ = 9589043520. Its totient is φ = 997704000.

The previous prime is 3402424309. The next prime is 3402424357. The reversal of 3402424344 is 4434242043.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246999 + ... + 260409.

It is an arithmetic number, because the mean of its divisors is an integer number (99885870).

Almost surely, 23402424344 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 3402424344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4794521760).

3402424344 is an abundant number, since it is smaller than the sum of its proper divisors (6186619176).

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

3402424344 is a wasteful number, since it uses less digits than its factorization.

3402424344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13493 (or 13458 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

The square root of 3402424344 is about 58330.3038222843. The cubic root of 3402424344 is about 1504.0519106027.

Adding to 3402424344 its reverse (4434242043), we get a palindrome (7836666387).

The spelling of 3402424344 in words is "three billion, four hundred two million, four hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 744 961 1023 1364 1922 2046 2728 2883 3844 4092 5766 7688 8184 10571 11532 13411 21142 23064 26822 31713 40233 42284 53644 63426 80466 84568 107288 126852 147521 160932 253704 295042 321864 415741 442563 590084 831482 885126 1180168 1247223 1662964 1770252 2494446 3325928 3540504 4573151 4988892 9146302 9977784 12887971 13719453 18292604 25775942 27438906 36585208 38663913 51551884 54877812 77327826 103103768 109755624 141767681 154655652 283535362 309311304 425303043 567070724 850606086 1134141448 1701212172 3402424344