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3412233120 = 25357108819
BaseRepresentation
bin1100101101100010…
…1000101110100000
322210210201101212110
43023120220232200
523442012424440
61322331555320
7150362334342
oct31330505640
98723641773
103412233120
1114a113127a
127b28bbb40
13424c19c6a
14245273292
1514e872080
hexcb628ba0

3412233120 has 48 divisors (see below), whose sum is σ = 10748535840. Its totient is φ = 909928704.

The previous prime is 3412233113. The next prime is 3412233127. The reversal of 3412233120 is 213322143.

It is an interprime number because it is at equal distance from previous prime (3412233113) and next prime (3412233127).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (3412233127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3553930 + ... + 3554889.

It is an arithmetic number, because the mean of its divisors is an integer number (223927830).

Almost surely, 23412233120 is an apocalyptic number.

3412233120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3412233120 is an abundant number, since it is smaller than the sum of its proper divisors (7336302720).

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

3412233120 is a wasteful number, since it uses less digits than its factorization.

3412233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7108837 (or 7108829 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3412233120 is about 58414.3229011516. The cubic root of 3412233120 is about 1505.4958568900.

Adding to 3412233120 its reverse (213322143), we get a palindrome (3625555263).

The spelling of 3412233120 in words is "three billion, four hundred twelve million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 7108819 14217638 21326457 28435276 35544095 42652914 56870552 71088190 85305828 106632285 113741104 142176380 170611656 213264570 227482208 284352760 341223312 426529140 568705520 682446624 853058280 1137411040 1706116560 3412233120