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3420154100 = 2252116150971
BaseRepresentation
bin1100101111011011…
…0110100011110100
322211100121211102002
43023312312203310
524001024412400
61323213434432
7150516554516
oct31366664364
98740554362
103420154100
1114a5651440
127b549ba18
1342676142c
14246335bb6
151503d8ed5
hexcbdb68f4

3420154100 has 72 divisors (see below), whose sum is σ = 8229327456. Its totient is φ = 1223280000.

The previous prime is 3420154093. The next prime is 3420154103. The reversal of 3420154100 is 14510243.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420154103) 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 23 ways as a sum of consecutive naturals, for example, 41615 + ... + 92585.

Almost surely, 23420154100 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 3420154100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4114663728).

3420154100 is an abundant number, since it is smaller than the sum of its proper divisors (4809173356).

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

3420154100 is a wasteful number, since it uses less digits than its factorization.

3420154100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51057 (or 51050 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 3420154100 is about 58482.0835812131. The cubic root of 3420154100 is about 1506.6598831718.

Adding to 3420154100 its reverse (14510243), we get a palindrome (3434664343).

The spelling of 3420154100 in words is "three billion, four hundred twenty million, one hundred fifty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 61 100 110 122 220 244 275 305 550 610 671 1100 1220 1342 1525 2684 3050 3355 6100 6710 13420 16775 33550 50971 67100 101942 203884 254855 509710 560681 1019420 1121362 1274275 2242724 2548550 2803405 3109231 5097100 5606810 6218462 11213620 12436924 14017025 15546155 28034050 31092310 34201541 56068100 62184620 68403082 77730775 136806164 155461550 171007705 310923100 342015410 684030820 855038525 1710077050 3420154100