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3400040504 = 2372329227401
BaseRepresentation
bin1100101010101000…
…1000000000111000
322202221202221202002
43022222020000320
523430402244004
61321214400132
7150153603350
oct31252100070
98687687662
103400040504
111495263833
127aa800048
1342253b3b3
142437bbb60
1514d76461e
hexcaa88038

3400040504 has 128 divisors (see below), whose sum is σ = 7919078400. Its totient is φ = 1336473600.

The previous prime is 3400040461. The next prime is 3400040507. The reversal of 3400040504 is 4050400043.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400040507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8478704 + ... + 8479104.

It is an arithmetic number, because the mean of its divisors is an integer number (61867800).

Almost surely, 23400040504 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 3400040504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3959539200).

3400040504 is an abundant number, since it is smaller than the sum of its proper divisors (4519037896).

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

3400040504 is a wasteful number, since it uses less digits than its factorization.

3400040504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 3400040504 is about 58309.8662663532. The cubic root of 3400040504 is about 1503.7005673230.

Adding to 3400040504 its reverse (4050400043), we get a palindrome (7450440547).

The spelling of 3400040504 in words is "three billion, four hundred million, forty thousand, five hundred four".

Divisors: 1 2 4 7 8 14 23 28 29 46 56 58 92 116 161 184 203 227 232 322 401 406 454 644 667 802 812 908 1288 1334 1589 1604 1624 1816 2668 2807 3178 3208 4669 5221 5336 5614 6356 6583 9223 9338 10442 11228 11629 12712 13166 18446 18676 20884 22456 23258 26332 36547 36892 37352 41768 46081 46516 52664 64561 73094 73784 81403 91027 92162 93032 129122 146188 151409 162806 182054 184324 258244 267467 292376 302818 325612 364108 368648 516488 534934 605636 637189 651224 728216 1059863 1069868 1211272 1274378 1872269 2093621 2119726 2139736 2548756 2639783 3744538 4187242 4239452 5097512 5279566 7489076 8374484 8478904 10559132 14655347 14978152 16748968 18478481 21118264 29310694 36956962 58621388 60715009 73913924 117242776 121430018 147827848 242860036 425005063 485720072 850010126 1700020252 3400040504