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3394503126 = 23472795413
BaseRepresentation
bin1100101001010100…
…0000000111010110
322202120100121220000
43022111000013112
523422443100001
61320455552130
7150055541400
oct31225000726
98676317800
103394503126
111492121493
127a898b646
1342134cb41
14242b79b70
1514d01da86
hexca5401d6

3394503126 has 120 divisors (see below), whose sum is σ = 8961685920. Its totient is φ = 957404448.

The previous prime is 3394503053. The next prime is 3394503127. The reversal of 3394503126 is 6213054933.

It is a happy number.

3394503126 is a `hidden beast` number, since 339 + 4 + 5 + 0 + 312 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3394503127) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 624396 + ... + 629808.

It is an arithmetic number, because the mean of its divisors is an integer number (74680716).

Almost surely, 23394503126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3394503126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4480842960).

3394503126 is an abundant number, since it is smaller than the sum of its proper divisors (5567182794).

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

3394503126 is a wasteful number, since it uses less digits than its factorization.

3394503126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5520 (or 5504 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 3394503126 is about 58262.3645761138. The cubic root of 3394503126 is about 1502.8838042291.

The spelling of 3394503126 in words is "three billion, three hundred ninety-four million, five hundred three thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 79 81 98 126 147 158 162 189 237 294 378 441 474 553 567 711 882 1106 1134 1323 1422 1659 2133 2646 3318 3871 3969 4266 4977 5413 6399 7742 7938 9954 10826 11613 12798 14931 16239 23226 29862 32478 34839 37891 44793 48717 69678 75782 89586 97434 104517 113673 146151 209034 227346 265237 292302 313551 341019 427627 438453 530474 627102 682038 795711 855254 876906 1023057 1282881 1591422 2046114 2387133 2565762 2993389 3069171 3848643 4774266 5986778 6138342 7161399 7697286 8980167 11545929 14322798 17960334 20953723 21484197 23091858 26940501 34637787 41907446 42968394 53881002 62861169 69275574 80821503 125722338 161643006 188583507 242464509 377167014 484929018 565750521 1131501042 1697251563 3394503126