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3428102500 = 225411712
BaseRepresentation
bin1100110001010100…
…1011000101100100
322211220120122120021
43030111023011210
524010043240000
61324100044524
7150644250634
oct31425130544
98756518507
103428102500
1114aa090169
127b8093744
134282b5224
142474046c4
15150e5911a
hexcc54b164

3428102500 has 45 divisors (see below), whose sum is σ = 7502981871. Its totient is φ = 1370070000.

The previous prime is 3428102449. The next prime is 3428102501. The reversal of 3428102500 is 52018243.

The square root of 3428102500 is 58550.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 268763236 + 3159339264 = 16394^2 + 56208^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3428102501) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2926915 + ... + 2928085.

Almost surely, 23428102500 is an apocalyptic number.

3428102500 is the 58550-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3428102500

3428102500 is an abundant number, since it is smaller than the sum of its proper divisors (4074879371).

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

3428102500 is an frugal number, since it uses more digits than its factorization.

3428102500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2366 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The cubic root of 3428102500 is about 1507.8261337774.

Multiplying 3428102500 by its sum of digits (25), we get a square (85702562500 = 2927502).

3428102500 divided by its sum of digits (25) gives a square (137124100 = 117102).

The spelling of 3428102500 in words is "three billion, four hundred twenty-eight million, one hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1171 1250 2342 2500 4684 5855 11710 23420 29275 58550 117100 146375 292750 585500 731875 1371241 1463750 2742482 2927500 5484964 6856205 13712410 27424820 34281025 68562050 137124100 171405125 342810250 685620500 857025625 1714051250 3428102500