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3402032340 = 2235729377549
BaseRepresentation
bin1100101011000110…
…1110010011010100
322210002112011000210
43022301232103110
523431410013330
61321325205420
7150206540430
oct31261562324
98702464023
103402032340
1114963a4283
127ab400870
13422a87bb5
14243b799c0
1514da098b0
hexcac6e4d4

3402032340 has 192 divisors, whose sum is σ = 11567808000. Its totient is φ = 730404864.

The previous prime is 3402032339. The next prime is 3402032351. The reversal of 3402032340 is 432302043.

3402032340 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 446886 + ... + 454434.

It is an arithmetic number, because the mean of its divisors is an integer number (60249000).

Almost surely, 23402032340 is an apocalyptic number.

3402032340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3402032340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5783904000).

3402032340 is an abundant number, since it is smaller than the sum of its proper divisors (8165775660).

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

3402032340 is a wasteful number, since it uses less digits than its factorization.

3402032340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7634 (or 7632 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 3402032340 is about 58326.9435166973. The cubic root of 3402032340 is about 1503.9941462019.

Adding to 3402032340 its reverse (432302043), we get a palindrome (3834334383).

The spelling of 3402032340 in words is "three billion, four hundred two million, thirty-two thousand, three hundred forty".