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3401121400 = 235237459611
BaseRepresentation
bin1100101010111000…
…1111111001111000
322210000210212110021
43022232033321320
523431141341100
61321253500224
7150166024555
oct31256177170
98700725407
103401121400
111495931936
127ab041674
13422829391
142439bda2c
1514d8c9a1a
hexcab8fe78

3401121400 has 48 divisors (see below), whose sum is σ = 8121344040. Its totient is φ = 1323676800.

The previous prime is 3401121359. The next prime is 3401121403. The reversal of 3401121400 is 41211043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401121403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222406 + ... + 237205.

Almost surely, 23401121400 is an apocalyptic number.

It is an amenable number.

3401121400 is an abundant number, since it is smaller than the sum of its proper divisors (4720222640).

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

3401121400 is a wasteful number, since it uses less digits than its factorization.

3401121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459664 (or 459655 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 3401121400 is about 58319.1340813630. The cubic root of 3401121400 is about 1503.8598959860.

Adding to 3401121400 its reverse (41211043), we get a palindrome (3442332443).

The spelling of 3401121400 in words is "three billion, four hundred one million, one hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 740 925 1480 1850 3700 7400 459611 919222 1838444 2298055 3676888 4596110 9192220 11490275 17005607 18384440 22980550 34011214 45961100 68022428 85028035 91922200 136044856 170056070 340112140 425140175 680224280 850280350 1700560700 3401121400