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3400466214 = 2319210391511
BaseRepresentation
bin1100101010101110…
…1111111100100110
322202222120120201010
43022223233330212
523431004404324
61321231443050
7150160325445
oct31253577446
98688516633
103400466214
111495524662
127aa986486
1342265a0b2
1424388cd5c
1514d7ea829
hexcaaeff26

3400466214 has 48 divisors (see below), whose sum is σ = 7189378560. Its totient is φ = 1072087920.

The previous prime is 3400466213. The next prime is 3400466221. The reversal of 3400466214 is 4126640043.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400466213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2249719 + ... + 2251229.

It is an arithmetic number, because the mean of its divisors is an integer number (149778720).

Almost surely, 23400466214 is an apocalyptic number.

3400466214 is an abundant number, since it is smaller than the sum of its proper divisors (3788912346).

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

3400466214 is a wasteful number, since it uses less digits than its factorization.

3400466214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2593 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 3400466214 is about 58313.5165634864. The cubic root of 3400466214 is about 1503.7633228160.

The spelling of 3400466214 in words is "three billion, four hundred million, four hundred sixty-six thousand, two hundred fourteen".

Divisors: 1 2 3 6 19 38 57 114 361 722 1039 1083 1511 2078 2166 3022 3117 4533 6234 9066 19741 28709 39482 57418 59223 86127 118446 172254 375079 545471 750158 1090942 1125237 1569929 1636413 2250474 3139858 3272826 4709787 9419574 29828651 59657302 89485953 178971906 566744369 1133488738 1700233107 3400466214